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230463624 = 23341234211
BaseRepresentation
bin11011011110010…
…01100010001000
3121001122202122210
431233021202020
5432444313444
634511345120
75465623416
oct1557114210
9531582583
10230463624
111090aa806
12652221a0
1338992311
14228722b6
15153757b9
hexdbc9888

230463624 has 32 divisors (see below), whose sum is σ = 590214240. Its totient is φ = 74947200.

The previous prime is 230463601. The next prime is 230463643. The reversal of 230463624 is 426364032.

It is a happy number.

It is a super-2 number, since 2×2304636242 = 106226963974426752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230463591 and 230463600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116122 + ... + 118089.

It is an arithmetic number, because the mean of its divisors is an integer number (18444195).

Almost surely, 2230463624 is an apocalyptic number.

230463624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230463624 is an abundant number, since it is smaller than the sum of its proper divisors (359750616).

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

230463624 is a wasteful number, since it uses less digits than its factorization.

230463624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234261 (or 234257 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 230463624 is about 15181.0284236609. The cubic root of 230463624 is about 613.1039708965.

The spelling of 230463624 in words is "two hundred thirty million, four hundred sixty-three thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 234211 468422 702633 936844 1405266 1873688 2810532 5621064 9602651 19205302 28807953 38410604 57615906 76821208 115231812 230463624