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232243013040 = 24352950116659
BaseRepresentation
bin1101100001001011000…
…0110010010110110000
3211012110102012110022120
43120102300302112300
512301113202404130
6254405125434240
722531125016323
oct3302260622660
9735412173276
10232243013040
118a548143115
123901586b980
1318b922c5a0c
14b3523a27ba
156093e64910
hex3612c325b0

232243013040 has 160 divisors (see below), whose sum is σ = 745039814400. Its totient is φ = 59774991360.

The previous prime is 232243013033. The next prime is 232243013129. The reversal of 232243013040 is 40310342232.

It is a super-2 number, since 2×2322430130402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 232243013040.

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, 34873231 + ... + 34879889.

It is an arithmetic number, because the mean of its divisors is an integer number (4656498840).

Almost surely, 2232243013040 is an apocalyptic number.

232243013040 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 232243013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372519907200).

232243013040 is an abundant number, since it is smaller than the sum of its proper divisors (512796801360).

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

232243013040 is a wasteful number, since it uses less digits than its factorization.

232243013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11715 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 232243013040 its reverse (40310342232), we get a palindrome (272553355272).

The spelling of 232243013040 in words is "two hundred thirty-two billion, two hundred forty-three million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3480 5011 6659 6960 10022 13318 15033 19977 20044 25055 26636 30066 33295 39954 40088 50110 53272 60132 66590 75165 79908 80176 99885 100220 106544 120264 133180 145319 150330 159816 193111 199770 200440 240528 266360 290638 300660 319632 386222 399540 400880 435957 532720 579333 581276 601320 726595 772444 799080 871914 965555 1158666 1162552 1202640 1453190 1544888 1598160 1743828 1931110 2179785 2317332 2325104 2896665 2906380 3089776 3487656 3862220 4359570 4634664 5793330 5812760 6975312 7724440 8719140 9269328 11586660 11625520 15448880 17438280 23173320 33368249 34876560 46346640 66736498 100104747 133472996 166841245 200209494 266945992 333682490 400418988 500523735 533891984 667364980 800837976 967679221 1001047470 1334729960 1601675952 1935358442 2002094940 2669459920 2903037663 3870716884 4004189880 4838396105 5806075326 7741433768 8008379760 9676792210 11612150652 14515188315 15482867536 19353584420 23224301304 29030376630 38707168840 46448602608 58060753260 77414337680 116121506520 232243013040