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230108262732 = 2232374133712503
BaseRepresentation
bin1101011001001110000…
…1010111000101001100
3210222221122021220102100
43112103201113011030
512232230203401412
6253413230355100
722424203650435
oct3262341270514
9728848256370
10230108262732
118965212a667
123871a95ba90
1318911c5b95a
14b1cca6c48c
155ebb835edc
hex359385714c

230108262732 has 144 divisors (see below), whose sum is σ = 613818459072. Its totient is φ = 72587612160.

The previous prime is 230108262623. The next prime is 230108262767. The reversal of 230108262732 is 237262801032.

230108262732 is a `hidden beast` number, since 2 + 301 + 0 + 82 + 6 + 273 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18397993 + ... + 18410495.

It is an arithmetic number, because the mean of its divisors is an integer number (4262628188).

Almost surely, 2230108262732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230108262732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306909229536).

230108262732 is an abundant number, since it is smaller than the sum of its proper divisors (383710196340).

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

230108262732 is a wasteful number, since it uses less digits than its factorization.

230108262732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12928 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 230108262732 in words is "two hundred thirty billion, one hundred eight million, two hundred sixty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 41 74 82 111 123 148 164 222 246 333 337 369 444 492 666 674 738 1011 1332 1348 1476 1517 2022 3033 3034 4044 4551 6066 6068 9102 12132 12469 12503 13653 13817 18204 24938 25006 27306 27634 37407 37509 41451 49876 50012 54612 55268 74814 75018 82902 112221 112527 124353 149628 150036 165804 224442 225054 248706 448884 450108 462611 497412 511229 512623 925222 1022458 1025246 1387833 1533687 1537869 1850444 2044916 2050492 2775666 3067374 3075738 4163499 4213511 4601061 4613607 5551332 6134748 6151476 8326998 8427022 9202122 9227214 12640533 16653996 16854044 18404244 18454428 18967051 25281066 37921599 37934102 50562132 56901153 75843198 75868204 113802306 151686396 155899907 170703459 172753951 227604612 311799814 341406918 345507902 467699721 518261853 623599628 682813836 691015804 935399442 1036523706 1403099163 1554785559 1870798884 2073047412 2806198326 3109571118 5612396652 6219142236 6391896187 12783792374 19175688561 25567584748 38351377122 57527065683 76702754244 115054131366 230108262732