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23197984 = 252343733
BaseRepresentation
bin101100001111…
…1100100100000
31121122120122121
41120133210200
521414313414
62145114024
7401115415
oct130374440
947576577
1023197984
1112104a97
127928914
134a62c24
14311c10c
152083724
hex161f920

23197984 has 48 divisors (see below), whose sum is σ = 48831552. Its totient is φ = 10821888.

The previous prime is 23197957. The next prime is 23197987. The reversal of 23197984 is 48979132.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 23197984.

It is not an unprimeable number, because it can be changed into a prime (23197987) 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 7 ways as a sum of consecutive naturals, for example, 31282 + ... + 32014.

It is an arithmetic number, because the mean of its divisors is an integer number (1017324).

Almost surely, 223197984 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 23197984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24415776).

23197984 is an abundant number, since it is smaller than the sum of its proper divisors (25633568).

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

23197984 is a wasteful number, since it uses less digits than its factorization.

23197984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its digits is 108864, while the sum is 43.

The square root of 23197984 is about 4816.4285523612. The cubic root of 23197984 is about 285.2003679737.

The spelling of 23197984 in words is "twenty-three million, one hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 23 32 43 46 86 92 172 184 344 368 688 733 736 989 1376 1466 1978 2932 3956 5864 7912 11728 15824 16859 23456 31519 31648 33718 63038 67436 126076 134872 252152 269744 504304 539488 724937 1008608 1449874 2899748 5799496 11598992 23197984