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23814816 = 253248071
BaseRepresentation
bin101101011011…
…0001010100000
31122210220210020
41122312022200
522044033231
62210233440
7406264644
oct132661240
948726706
1023814816
1112496473
127b85880
134c1a90c
14323cc24
152156396
hex16b62a0

23814816 has 24 divisors (see below), whose sum is σ = 62514144. Its totient is φ = 7938240.

The previous prime is 23814811. The next prime is 23814877. The reversal of 23814816 is 61841832.

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

It is a super-2 number, since 2×238148162 = 1134290922227712, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23814811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123940 + ... + 124131.

It is an arithmetic number, because the mean of its divisors is an integer number (2604756).

Almost surely, 223814816 is an apocalyptic number.

It is an amenable number.

23814816 is an abundant number, since it is smaller than the sum of its proper divisors (38699328).

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

23814816 is a wasteful number, since it uses less digits than its factorization.

23814816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248084 (or 248076 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 23814816 is about 4880.0426227647. The cubic root of 23814816 is about 287.7061045113.

The spelling of 23814816 in words is "twenty-three million, eight hundred fourteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 248071 496142 744213 992284 1488426 1984568 2976852 3969136 5953704 7938272 11907408 23814816