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232511221041240 = 233535941912881137
BaseRepresentation
bin110100110111011110111100…
…101111001000100001011000
31010111020212002202202100002010
4310313132330233020201120
5220433430440041304430
62142302102542505520
766655244544455421
oct6467367457104130
91114225082670063
10232511221041240
11680a35007a4a89
12220b22955952a0
139c97938a4b21b
14415b863052648
151bd323cb2bcb0
hexd377bcbc8858

232511221041240 has 128 divisors (see below), whose sum is σ = 701146103616000. Its totient is φ = 61682710898688.

The previous prime is 232511221041227. The next prime is 232511221041317. The reversal of 232511221041240 is 42140122115232.

It is a super-2 number, since 2×2325112210412402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 232511221041198 and 232511221041207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11609952 + ... + 24491088.

It is an arithmetic number, because the mean of its divisors is an integer number (5477703934500).

Almost surely, 2232511221041240 is an apocalyptic number.

232511221041240 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 232511221041240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350573051808000).

232511221041240 is an abundant number, since it is smaller than the sum of its proper divisors (468634882574760).

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

232511221041240 is a wasteful number, since it uses less digits than its factorization.

232511221041240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12881929 (or 12881925 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 232511221041240 its reverse (42140122115232), we get a palindrome (274651343156472).

The spelling of 232511221041240 in words is "two hundred thirty-two trillion, five hundred eleven billion, two hundred twenty-one million, forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 359 419 718 838 1077 1257 1436 1676 1795 2095 2154 2514 2872 3352 3590 4190 4308 5028 5385 6285 7180 8380 8616 10056 10770 12570 14360 16760 21540 25140 43080 50280 150421 300842 451263 601684 752105 902526 1203368 1504210 1805052 2256315 3008420 3610104 4512630 6016840 9025260 12881137 18050520 25762274 38643411 51524548 64405685 77286822 103049096 128811370 154573644 193217055 257622740 309147288 386434110 515245480 772868220 1545736440 4624328183 5397196403 9248656366 10794392806 13872984549 16191589209 18497312732 21588785612 23121640915 26985982015 27745969098 32383178418 36994625464 43177571224 46243281830 53971964030 55491938196 64766356836 69364922745 80957946045 92486563660 107943928060 110983876392 129532713672 138729845490 161915892090 184973127320 215887856120 277459690980 323831784180 554919381960 647663568360 1937593508677 3875187017354 5812780526031 7750374034708 9687967543385 11625561052062 15500748069416 19375935086770 23251122104124 29063902630155 38751870173540 46502244208248 58127805260310 77503740347080 116255610520620 232511221041240