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23207328 = 2532611321
BaseRepresentation
bin101100010000…
…1110110100000
31121200001110200
41120201312200
521420113303
62145225200
7401154564
oct130416640
947601420
1023207328
1112111011
127932200
134a67261
1431216a4
1520863a3
hex1621da0

23207328 has 72 divisors (see below), whose sum is σ = 67128516. Its totient is φ = 7603200.

The previous prime is 23207323. The next prime is 23207333. The reversal of 23207328 is 82370232.

It is an interprime number because it is at equal distance from previous prime (23207323) and next prime (23207333).

It can be written as a sum of positive squares in 2 ways, for example, as 23155344 + 51984 = 4812^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (23207321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16908 + ... + 18228.

Almost surely, 223207328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23207328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33564258).

23207328 is an abundant number, since it is smaller than the sum of its proper divisors (43921188).

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

23207328 is a wasteful number, since it uses less digits than its factorization.

23207328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23207328 is about 4817.3984680531. The cubic root of 23207328 is about 285.2386551300.

The spelling of 23207328 in words is "twenty-three million, two hundred seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 122 144 183 244 288 366 488 549 732 976 1098 1321 1464 1952 2196 2642 2928 3963 4392 5284 5856 7926 8784 10568 11889 15852 17568 21136 23778 31704 42272 47556 63408 80581 95112 126816 161162 190224 241743 322324 380448 483486 644648 725229 966972 1289296 1450458 1933944 2578592 2900916 3867888 5801832 7735776 11603664 23207328