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23047152 = 2431937683
BaseRepresentation
bin101011111101…
…0101111110000
31121100220202020
41113322233300
521400002102
62141551440
7366616602
oct127725760
947326666
1023047152
1112011737
127875580
134a0c38b
1430bd172
152053bbc
hex15fabf0

23047152 has 80 divisors (see below), whose sum is σ = 64460160. Its totient is φ = 7070976.

The previous prime is 23047151. The next prime is 23047153. The reversal of 23047152 is 25174032.

It is an interprime number because it is at equal distance from previous prime (23047151) and next prime (23047153).

It is a super-2 number, since 2×230471522 = 1062342430622208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23047151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33403 + ... + 34085.

It is an arithmetic number, because the mean of its divisors is an integer number (805752).

Almost surely, 223047152 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 23047152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32230080).

23047152 is an abundant number, since it is smaller than the sum of its proper divisors (41413008).

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

23047152 is a wasteful number, since it uses less digits than its factorization.

23047152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 23047152 is about 4800.7449421939. The cubic root of 23047152 is about 284.5809044855.

The spelling of 23047152 in words is "twenty-three million, forty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 37 38 48 57 74 76 111 114 148 152 222 228 296 304 444 456 592 683 703 888 912 1366 1406 1776 2049 2109 2732 2812 4098 4218 5464 5624 8196 8436 10928 11248 12977 16392 16872 25271 25954 32784 33744 38931 50542 51908 75813 77862 101084 103816 151626 155724 202168 207632 303252 311448 404336 480149 606504 622896 960298 1213008 1440447 1920596 2880894 3841192 5761788 7682384 11523576 23047152