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230516424 = 23323201617
BaseRepresentation
bin11011011110101…
…10011011001000
3121001202110002100
431233112123020
5433003011144
634512433400
75466233355
oct1557263310
9531673070
10230516424
11109136446
1265248860
13389b0368
142288762c
1515386269
hexdbd66c8

230516424 has 24 divisors (see below), whose sum is σ = 624315510. Its totient is φ = 76838784.

The previous prime is 230516423. The next prime is 230516431. The reversal of 230516424 is 424615032.

230516424 is a `hidden beast` number, since 230 + 5 + 1 + 6 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 174715524 + 55800900 = 13218^2 + 7470^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (230516423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1600737 + ... + 1600880.

Almost surely, 2230516424 is an apocalyptic number.

230516424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230516424 is an abundant number, since it is smaller than the sum of its proper divisors (393799086).

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

230516424 is a wasteful number, since it uses less digits than its factorization.

230516424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201629 (or 3201622 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230516424 is about 15182.7673366880. The cubic root of 230516424 is about 613.1507887228.

The spelling of 230516424 in words is "two hundred thirty million, five hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3201617 6403234 9604851 12806468 19209702 25612936 28814553 38419404 57629106 76838808 115258212 230516424