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23023638 = 232113312
BaseRepresentation
bin101011111010…
…1000000010110
31121022201111100
41113311000112
521343224023
62141250530
7366461211
oct127650026
947281440
1023023638
1111aa6000
127863a46
134a01771
1430b4778
15204bc43
hex15f5016

23023638 has 72 divisors (see below), whose sum is σ = 56696328. Its totient is φ = 6751800.

The previous prime is 23023633. The next prime is 23023639. The reversal of 23023638 is 83632032.

23023638 is a `hidden beast` number, since 2 + 3 + 0 + 23 + 638 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023633) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 742683 + ... + 742713.

It is an arithmetic number, because the mean of its divisors is an integer number (787449).

Almost surely, 223023638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23023638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28348164).

23023638 is an abundant number, since it is smaller than the sum of its proper divisors (33672690).

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

23023638 is a wasteful number, since it uses less digits than its factorization.

23023638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 23023638 is about 4798.2953222994. The cubic root of 23023638 is about 284.4840897409.

The spelling of 23023638 in words is "twenty-three million, twenty-three thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 121 186 198 242 279 341 363 558 682 726 961 1023 1089 1331 1922 2046 2178 2662 2883 3069 3751 3993 5766 6138 7502 7986 8649 10571 11253 11979 17298 21142 22506 23958 31713 33759 41261 63426 67518 82522 95139 116281 123783 190278 232562 247566 348843 371349 697686 742698 1046529 1279091 2093058 2558182 3837273 7674546 11511819 23023638