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230957568 = 29345569
BaseRepresentation
bin11011100010000…
…10001000000000
3121002120212020000
431301002020000
5433111120233
634530120000
75503051452
oct1561021000
9532525200
10230957568
11109407926
1265420000
1338b060aa
14229602d2
1515421d13
hexdc42200

230957568 has 100 divisors (see below), whose sum is σ = 689471310. Its totient is φ = 76972032.

The previous prime is 230957561. The next prime is 230957569. The reversal of 230957568 is 865759032.

It is a happy number.

230957568 is a `hidden beast` number, since 2 + 30 + 9 + 57 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 219988224 + 10969344 = 14832^2 + 3312^2 .

It is a nialpdrome in base 12 and base 16.

It is not an unprimeable number, because it can be changed into a prime (230957561) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38688 + ... + 44256.

Almost surely, 2230957568 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 230957568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344735655).

230957568 is an abundant number, since it is smaller than the sum of its proper divisors (458513742).

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

230957568 is an frugal number, since it uses more digits than its factorization.

230957568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5599 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 230957568 is about 15197.2881791456. The cubic root of 230957568 is about 613.5416725538.

The spelling of 230957568 in words is "two hundred thirty million, nine hundred fifty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 5569 6912 10368 11138 13824 16707 20736 22276 33414 41472 44552 50121 66828 89104 100242 133656 150363 178208 200484 267312 300726 356416 400968 451089 534624 601452 712832 801936 902178 1069248 1202904 1425664 1603872 1804356 2138496 2405808 2851328 3207744 3608712 4276992 4811616 6415488 7217424 8553984 9623232 12830976 14434848 19246464 25661952 28869696 38492928 57739392 76985856 115478784 230957568