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230052400 = 2452575131
BaseRepresentation
bin11011011011001…
…01001000110000
3121000212212120021
431231211020300
5432343134100
634454453224
75462261464
oct1555451060
9530785507
10230052400
11108949856
1265064214
133887a0a6
14227a64a4
15152e3a1a
hexdb65230

230052400 has 30 divisors (see below), whose sum is σ = 552701852. Its totient is φ = 92020800.

The previous prime is 230052391. The next prime is 230052401. The reversal of 230052400 is 4250032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (230052401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 287166 + ... + 287965.

Almost surely, 2230052400 is an apocalyptic number.

230052400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230052400 is an abundant number, since it is smaller than the sum of its proper divisors (322649452).

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

230052400 is a wasteful number, since it uses less digits than its factorization.

230052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575149 (or 575138 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 230052400 is about 15167.4783665578. The cubic root of 230052400 is about 612.7390931065.

The spelling of 230052400 in words is "two hundred thirty million, fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 575131 1150262 2300524 2875655 4601048 5751310 9202096 11502620 14378275 23005240 28756550 46010480 57513100 115026200 230052400