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23197152 = 2531121997
BaseRepresentation
bin101100001111…
…1010111100000
31121122112111210
41120133113200
521414302102
62145110120
7401113116
oct130372740
947575453
1023197152
1112104400
127928340
134a62734
14311bab6
15208336c
hex161f5e0

23197152 has 72 divisors (see below), whose sum is σ = 66964968. Its totient is φ = 7025920.

The previous prime is 23197151. The next prime is 23197159. The reversal of 23197152 is 25179132.

It is a super-2 number, since 2×231971522 = 1076215721822208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23197151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10618 + ... + 12614.

It is an arithmetic number, because the mean of its divisors is an integer number (930069).

Almost surely, 223197152 is an apocalyptic number.

23197152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23197152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33482484).

23197152 is an abundant number, since it is smaller than the sum of its proper divisors (43767816).

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

23197152 is a wasteful number, since it uses less digits than its factorization.

23197152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2013 counting only the distinct ones).

The product of its digits is 3780, while the sum is 30.

The square root of 23197152 is about 4816.3421805349. The cubic root of 23197152 is about 285.1969583449.

The spelling of 23197152 in words is "twenty-three million, one hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 242 264 352 363 484 528 726 968 1056 1452 1936 1997 2904 3872 3994 5808 5991 7988 11616 11982 15976 21967 23964 31952 43934 47928 63904 65901 87868 95856 131802 175736 191712 241637 263604 351472 483274 527208 702944 724911 966548 1054416 1449822 1933096 2108832 2899644 3866192 5799288 7732384 11598576 23197152