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230825496 = 233115631553
BaseRepresentation
bin11011100001000…
…01111000011000
3121002100011001110
431300201320120
5433042403441
634523220320
75501661426
oct1560417030
9532304043
10230825496
11109327680
12653776a0
1338a8ac45
1422928116
15153e7b16
hexdc21e18

230825496 has 64 divisors (see below), whose sum is σ = 631048320. Its totient is φ = 69777920.

The previous prime is 230825477. The next prime is 230825503. The reversal of 230825496 is 694528032.

It is a happy number.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147856 + ... + 149408.

It is an arithmetic number, because the mean of its divisors is an integer number (9860130).

Almost surely, 2230825496 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 230825496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315524160).

230825496 is an abundant number, since it is smaller than the sum of its proper divisors (400222824).

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

230825496 is a wasteful number, since it uses less digits than its factorization.

230825496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 230825496 is about 15192.9423088485. The cubic root of 230825496 is about 613.4246999468.

The spelling of 230825496 in words is "two hundred thirty million, eight hundred twenty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 563 1126 1553 1689 2252 3106 3378 4504 4659 6193 6212 6756 9318 12386 12424 13512 17083 18579 18636 24772 34166 37158 37272 49544 51249 68332 74316 102498 136664 148632 204996 409992 874339 1748678 2623017 3497356 5246034 6994712 9617729 10492068 19235458 20984136 28853187 38470916 57706374 76941832 115412748 230825496