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230557656 = 233729371279
BaseRepresentation
bin11011011111000…
…00011111011000
3121001211112122110
431233200133120
5433010321111
634513352320
75466464520
oct1557403730
9531745573
10230557656
1110916441a
12652686a0
13389c6064
1422898680
15153935a6
hexdbe07d8

230557656 has 128 divisors (see below), whose sum is σ = 700416000. Its totient is φ = 61834752.

The previous prime is 230557631. The next prime is 230557667. The reversal of 230557656 is 656755032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179625 + ... + 180903.

It is an arithmetic number, because the mean of its divisors is an integer number (5472000).

Almost surely, 2230557656 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 230557656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350208000).

230557656 is an abundant number, since it is smaller than the sum of its proper divisors (469858344).

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

230557656 is a wasteful number, since it uses less digits than its factorization.

230557656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The square root of 230557656 is about 15184.1251312020. The cubic root of 230557656 is about 613.1873442181.

The spelling of 230557656 in words is "two hundred thirty million, five hundred fifty-seven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 37 42 56 58 74 84 87 111 116 148 168 174 203 222 232 259 296 348 406 444 518 609 696 777 812 888 1036 1073 1218 1279 1554 1624 2072 2146 2436 2558 3108 3219 3837 4292 4872 5116 6216 6438 7511 7674 8584 8953 10232 12876 15022 15348 17906 22533 25752 26859 30044 30696 35812 37091 45066 47323 53718 60088 71624 74182 90132 94646 107436 111273 141969 148364 180264 189292 214872 222546 259637 283938 296728 331261 378584 445092 519274 567876 662522 778911 890184 993783 1038548 1135752 1325044 1372367 1557822 1987566 2077096 2650088 2744734 3115644 3975132 4117101 5489468 6231288 7950264 8234202 9606569 10978936 16468404 19213138 28819707 32936808 38426276 57639414 76852552 115278828 230557656