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230553856 = 28132732
BaseRepresentation
bin11011011110111…
…11100100000000
3121001211100102201
431233133210000
5433010210411
634513322544
75466450451
oct1557374400
9531740381
10230553856
11109161585
1265266454
13389c4400
1422897128
15153923c1
hexdbdf900

230553856 has 81 divisors (see below), whose sum is σ = 505250739. Its totient is φ = 104951808.

The previous prime is 230553853. The next prime is 230553859. The reversal of 230553856 is 658355032.

The square root of 230553856 is 15184.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (230553853) and next prime (230553859).

It can be written as a sum of positive squares in 4 ways, for example, as 23193856 + 207360000 = 4816^2 + 14400^2 .

It is not an unprimeable number, because it can be changed into a prime (230553853) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3158236 + ... + 3158308.

Almost surely, 2230553856 is an apocalyptic number.

230553856 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

230553856 is the 15184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230553856

230553856 is an abundant number, since it is smaller than the sum of its proper divisors (274696883).

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

230553856 is an frugal number, since it uses more digits than its factorization.

230553856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The cubic root of 230553856 is about 613.1839753938.

The spelling of 230553856 in words is "two hundred thirty million, five hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 128 146 169 208 256 292 338 416 584 676 832 949 1168 1352 1664 1898 2336 2704 3328 3796 4672 5329 5408 7592 9344 10658 10816 12337 15184 18688 21316 21632 24674 30368 42632 43264 49348 60736 69277 85264 98696 121472 138554 170528 197392 242944 277108 341056 394784 554216 682112 789568 900601 1108432 1364224 1579136 1801202 2216864 3158272 3602404 4433728 7204808 8867456 14409616 17734912 28819232 57638464 115276928 230553856