Search a number
-
+
232037252136 = 233210131908313
BaseRepresentation
bin1101100000011001111…
…1110111110000101000
3211011221002000201102100
43120012133313300220
512300203014032021
6254332455333400
722523046046314
oct3300637676050
9734832021370
10232037252136
118a451a85988
1238b78981260
1318b5b7a24c1
14b332d20b44
156080d6d626
hex36067f7c28

232037252136 has 48 divisors (see below), whose sum is σ = 634656365460. Its totient is φ = 76579948800.

The previous prime is 232037252101. The next prime is 232037252137. The reversal of 232037252136 is 631252730232.

232037252136 is a `hidden beast` number, since 2 + 32 + 0 + 3 + 72 + 521 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 198550448100 + 33486804036 = 445590^2 + 182994^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 232037252136.

It is not an unprimeable number, because it can be changed into a prime (232037252137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15946885 + ... + 15961428.

Almost surely, 2232037252136 is an apocalyptic number.

It is an amenable number.

232037252136 is an abundant number, since it is smaller than the sum of its proper divisors (402619113324).

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

232037252136 is a wasteful number, since it uses less digits than its factorization.

232037252136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31908426 (or 31908419 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 232037252136 its reverse (631252730232), we get a palindrome (863289982368).

The spelling of 232037252136 in words is "two hundred thirty-two billion, thirty-seven million, two hundred fifty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 7272 31908313 63816626 95724939 127633252 191449878 255266504 287174817 382899756 574349634 765799512 1148699268 2297398536 3222739613 6445479226 9668218839 12890958452 19336437678 25781916904 29004656517 38672875356 58009313034 77345750712 116018626068 232037252136