Search a number
-
+
232230341232 = 243267179134471
BaseRepresentation
bin1101100001001000000…
…0011100101001110000
3211012102112100122212100
43120102000130221300
512301101431404412
6254403554100400
722530612221301
oct3302200345160
9735375318770
10232230341232
118a540a7864a
123901157a700
1318b8c7a9cc6
14b3508247a8
156092caeedc
hex361201ca70

232230341232 has 120 divisors (see below), whose sum is σ = 663312723840. Its totient is φ = 75828170880.

The previous prime is 232230341227. The next prime is 232230341249. The reversal of 232230341232 is 232143032232.

232230341232 is a `hidden beast` number, since 2 + 322 + 303 + 4 + 1 + 2 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 232230341196 and 232230341205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1659757 + ... + 1794227.

It is an arithmetic number, because the mean of its divisors is an integer number (5527606032).

Almost surely, 2232230341232 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 232230341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331656361920).

232230341232 is an abundant number, since it is smaller than the sum of its proper divisors (431082382608).

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

232230341232 is a wasteful number, since it uses less digits than its factorization.

232230341232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134731 (or 134722 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 232230341232 its reverse (232143032232), we get a palindrome (464373373464).

The spelling of 232230341232 in words is "two hundred thirty-two billion, two hundred thirty million, three hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 67 72 134 144 179 201 268 358 402 536 537 603 716 804 1072 1074 1206 1432 1608 1611 2148 2412 2864 3216 3222 4296 4824 6444 8592 9648 11993 12888 23986 25776 35979 47972 71958 95944 107937 134471 143916 191888 215874 268942 287832 403413 431748 537884 575664 806826 863496 1075768 1210239 1613652 1726992 2151536 2420478 3227304 4840956 6454608 9009557 9681912 18019114 19363824 24070309 27028671 36038228 48140618 54057342 72076456 72210927 81086013 96281236 108114684 144152912 144421854 162172026 192562472 216229368 216632781 288843708 324344052 385124944 432458736 433265562 577687416 648688104 866531124 1155374832 1297376208 1612710703 1733062248 3225421406 3466124496 4838132109 6450842812 9676264218 12901685624 14514396327 19352528436 25803371248 29028792654 38705056872 58057585308 77410113744 116115170616 232230341232