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232034441020520 = 235191634793910351
BaseRepresentation
bin110100110000100010111010…
…011011101100010001101000
31010102120021110011000210021012
4310300202322123230101220
5220403123013400124040
62141255052312203052
766605635520244455
oct6460427233542150
91112507404023235
10232034441020520
1167a2a287915706
12220359b4999488
139c619a5420778
144142753a2082c
151bc5b357ac865
hexd308ba6ec468

232034441020520 has 128 divisors (see below), whose sum is σ = 554081236992000. Its totient is φ = 87206936428800.

The previous prime is 232034441020489. The next prime is 232034441020553. The reversal of 232034441020520 is 25020144430232.

It is a super-2 number, since 2×2320344410205202 (a number of 30 digits) contains 22 as substring.

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, 57383345 + ... + 61293695.

It is an arithmetic number, because the mean of its divisors is an integer number (4328759664000).

Almost surely, 2232034441020520 is an apocalyptic number.

232034441020520 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 232034441020520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277040618496000).

232034441020520 is an abundant number, since it is smaller than the sum of its proper divisors (322046795971480).

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

232034441020520 is a wasteful number, since it uses less digits than its factorization.

232034441020520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911023 (or 3911019 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 232034441020520 its reverse (25020144430232), we get a palindrome (257054585450752).

The spelling of 232034441020520 in words is "two hundred thirty-two trillion, thirty-four billion, four hundred forty-one million, twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 163 190 326 380 479 652 760 815 958 1304 1630 1916 2395 3097 3260 3832 4790 6194 6520 9101 9580 12388 15485 18202 19160 24776 30970 36404 45505 61940 72808 78077 91010 123880 156154 182020 312308 364040 390385 624616 780770 1483463 1561540 2966926 3123080 3910351 5933852 7417315 7820702 11867704 14834630 15641404 19551755 29669260 31282808 39103510 59338520 74296669 78207020 148593338 156414040 297186676 371483345 594373352 637387213 742966690 1274774426 1485933380 1873058129 2549548852 2971866760 3186936065 3746116258 5099097704 6373872130 7492232516 9365290645 12110357047 12747744260 14984465032 18730581290 24220714094 25495488520 35588104451 37461162580 48441428188 60551785235 71176208902 74922325160 96882856376 121103570470 142352417804 177940522255 242207140940 284704835608 305308475027 355881044510 484414281880 610616950054 711762089020 1221233900108 1423524178040 1526542375135 2442467800216 3053084750270 5800861025513 6106169500540 11601722051026 12212339001080 23203444102052 29004305127565 46406888204104 58008610255130 116017220510260 232034441020520