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233324431340 = 2257111311654567
BaseRepresentation
bin1101100101001100111…
…0000100011111101100
3211022020210002012100012
43121103032010133230
512310322023300330
6255104320152352
722566665641340
oct3312316043754
9738223065305
10233324431340
118aa52616750
1239277a686b8
131900536b9c0
14b415c65620
156108d79c95
hex36533847ec

233324431340 has 96 divisors (see below), whose sum is σ = 657877054464. Its totient is φ = 67130300160.

The previous prime is 233324431273. The next prime is 233324431357. The reversal of 233324431340 is 43134423332.

It is a junction number, because it is equal to n+sod(n) for n = 233324431297 and 233324431306.

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, 5807264 + ... + 5847303.

It is an arithmetic number, because the mean of its divisors is an integer number (6852885984).

Almost surely, 2233324431340 is an apocalyptic number.

233324431340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233324431340 is an abundant number, since it is smaller than the sum of its proper divisors (424552623124).

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

233324431340 is a wasteful number, since it uses less digits than its factorization.

233324431340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11654607 (or 11654605 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 233324431340 its reverse (43134423332), we get a palindrome (276458854672).

The spelling of 233324431340 in words is "two hundred thirty-three billion, three hundred twenty-four million, four hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 11654567 23309134 46618268 58272835 81581969 116545670 128200237 151509371 163163938 233091340 256400474 303018742 326327876 407909845 512800948 606037484 641001185 757546855 815819690 897401659 1060565597 1282002370 1515093710 1631639380 1666603081 1794803318 2121131194 2564004740 3030187420 3333206162 3589606636 4242262388 4487008295 5302827985 6666412324 8333015405 8974016590 10605655970 11666221567 16666030810 17948033180 21211311940 23332443134 33332061620 46664886268 58331107835 116662215670 233324431340