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23133328 = 241785049
BaseRepresentation
bin101100000111…
…1110010010000
31121112021221221
41120033302100
521410231303
62143454424
7400426051
oct130176220
947467857
1023133328
1112070459
1278b7414
134a3c67a
143102728
15206e4bd
hex160fc90

23133328 has 20 divisors (see below), whose sum is σ = 47457900. Its totient is φ = 10886144.

The previous prime is 23133323. The next prime is 23133359. The reversal of 23133328 is 82333132.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14653584 + 8479744 = 3828^2 + 2912^2 .

It is not an unprimeable number, because it can be changed into a prime (23133323) 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, 42253 + ... + 42796.

It is an arithmetic number, because the mean of its divisors is an integer number (2372895).

Almost surely, 223133328 is an apocalyptic number.

It is an amenable number.

23133328 is an abundant number, since it is smaller than the sum of its proper divisors (24324572).

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

23133328 is a wasteful number, since it uses less digits than its factorization.

23133328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85074 (or 85068 counting only the distinct ones).

The product of its digits is 2592, while the sum is 25.

The square root of 23133328 is about 4809.7118416803. The cubic root of 23133328 is about 284.9351570959.

It can be divided in two parts, 231333 and 28, that added together give a square (231361 = 4812).

The spelling of 23133328 in words is "twenty-three million, one hundred thirty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 34 68 136 272 85049 170098 340196 680392 1360784 1445833 2891666 5783332 11566664 23133328