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230637136 = 2441592101
BaseRepresentation
bin11011011111100…
…11111001010000
3121001222120200011
431233303321100
5433020342021
634515204304
75500245322
oct1557637120
9531876604
10230637136
11109209104
12652a6694
1338a232a2
14228b9612
15153abde1
hexdbf3e50

230637136 has 60 divisors (see below), whose sum is σ = 470258964. Its totient is φ = 109504000.

The previous prime is 230637119. The next prime is 230637161. The reversal of 230637136 is 631736032.

230637136 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 117852736 + 112784400 = 10856^2 + 10620^2 .

It is a junction number, because it is equal to n+sod(n) for n = 230637098 and 230637107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2283486 + ... + 2283586.

Almost surely, 2230637136 is an apocalyptic number.

It is an amenable number.

230637136 is an abundant number, since it is smaller than the sum of its proper divisors (239621828).

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

230637136 is a wasteful number, since it uses less digits than its factorization.

230637136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 31.

The square root of 230637136 is about 15186.7421127772. The cubic root of 230637136 is about 613.2577973559.

The spelling of 230637136 in words is "two hundred thirty million, six hundred thirty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 41 59 82 101 118 164 202 236 328 404 472 656 808 944 1616 2419 3481 4141 4838 5959 6962 8282 9676 11918 13924 16564 19352 23836 27848 33128 38704 47672 55696 66256 95344 142721 244319 285442 351581 488638 570884 703162 977276 1141768 1406324 1954552 2283536 2812648 3909104 5625296 14414821 28829642 57659284 115318568 230637136