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232003521234320 = 245111722436914069
BaseRepresentation
bin110100110000000110000111…
…011110000100010110010000
31010102110022122021222220102112
4310300012013132010112100
5220402121202413444240
62141232540222004452
766603462351351263
oct6460060736042620
91112408567886375
10232003521234320
1167a181604656a0
122202ba05a16728
139c5bab8624ca4
14414105d388cda
151bc4e26049665
hexd30187784590

232003521234320 has 160 divisors (see below), whose sum is σ = 623337593662080. Its totient is φ = 79366863134720.

The previous prime is 232003521234313. The next prime is 232003521234323. The reversal of 232003521234320 is 23432125300232.

It is a super-2 number, since 2×2320035212343202 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232003521234323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30098246 + ... + 37012314.

It is an arithmetic number, because the mean of its divisors is an integer number (3895859960388).

Almost surely, 2232003521234320 is an apocalyptic number.

232003521234320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232003521234320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311668796831040).

232003521234320 is an abundant number, since it is smaller than the sum of its proper divisors (391334072427760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232003521234320 is a wasteful number, since it uses less digits than its factorization.

232003521234320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916353 (or 6916347 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 232003521234320 its reverse (23432125300232), we get a palindrome (255435646534552).

The spelling of 232003521234320 in words is "two hundred thirty-two trillion, three billion, five hundred twenty-one million, two hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2243 2992 3740 4486 7480 8972 11215 14960 17944 22430 24673 35888 38131 44860 49346 76262 89720 98692 123365 152524 179440 190655 197384 246730 305048 381310 394768 419441 493460 610096 762620 838882 986920 1525240 1677764 1973840 2097205 3050480 3355528 4194410 6711056 6914069 8388820 13828138 16777640 27656276 33555280 34570345 55312552 69140690 76054759 110625104 117539173 138281380 152109518 235078346 276562760 304219036 380273795 470156692 553125520 587695865 608438072 760547590 940313384 1175391730 1216876144 1292930903 1521095180 1880626768 2350783460 2585861806 3042190360 4701566920 5171723612 6084380720 6464654515 9403133840 10343447224 12929309030 15508256767 20686894448 25858618060 31016513534 51717236120 62033027068 77541283835 103434472240 124066054136 155082567670 170590824437 248132108272 263640365039 310165135340 341181648874 527280730078 620330270680 682363297748 852954122185 1054561460156 1240660541360 1318201825195 1364726595496 1705908244370 2109122920312 2636403650390 2729453190992 2900044015429 3411816488740 4218245840624 5272807300780 5800088030858 6823632977480 10545614601560 11600176061716 13647265954960 14500220077145 21091229203120 23200352123432 29000440154290 46400704246864 58000880308580 116001760617160 232003521234320