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230463272 = 23132373457
BaseRepresentation
bin11011011110010…
…01011100101000
3121001122202011202
431233021130220
5432444311042
634511343332
75465622404
oct1557113450
9531582152
10230463272
111090aa516
1265221b48
1338992100
1422872104
1515375632
hexdbc9728

230463272 has 48 divisors (see below), whose sum is σ = 470196540. Its totient is φ = 105850368.

The previous prime is 230463257. The next prime is 230463301. The reversal of 230463272 is 272364032.

It can be written as a sum of positive squares in 6 ways, for example, as 78039556 + 152423716 = 8834^2 + 12346^2 .

It is a super-2 number, since 2×2304632722 = 106226639481891968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504068 + ... + 504524.

Almost surely, 2230463272 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 230463272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235098270).

230463272 is an abundant number, since it is smaller than the sum of its proper divisors (239733268).

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

230463272 is a wasteful number, since it uses less digits than its factorization.

230463272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 230463272 is about 15181.0168302390. The cubic root of 230463272 is about 613.1036587536.

The spelling of 230463272 in words is "two hundred thirty million, four hundred sixty-three thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 26 52 104 169 338 373 457 676 746 914 1352 1492 1828 2984 3656 4849 5941 9698 11882 19396 23764 38792 47528 63037 77233 126074 154466 170461 252148 308932 340922 504296 617864 681844 1363688 2215993 4431986 8863972 17727944 28807909 57615818 115231636 230463272