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23195664 = 2432792039
BaseRepresentation
bin101100001111…
…1000000010000
31121122110110200
41120133000100
521414230124
62145055200
7401105562
oct130370020
947573420
1023195664
1112103278
127927500
134a61b5b
14311b332
152082bc9
hex161f010

23195664 has 60 divisors (see below), whose sum is σ = 65769600. Its totient is φ = 7630272.

The previous prime is 23195647. The next prime is 23195671. The reversal of 23195664 is 46659132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10357 + ... + 12395.

It is an arithmetic number, because the mean of its divisors is an integer number (1096160).

Almost surely, 223195664 is an apocalyptic number.

23195664 is a gapful number since it is divisible by the number (24) 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 23195664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32884800).

23195664 is an abundant number, since it is smaller than the sum of its proper divisors (42573936).

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

23195664 is a wasteful number, since it uses less digits than its factorization.

23195664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2123 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 23195664 is about 4816.1877039833. The cubic root of 23195664 is about 285.1908601516.

The spelling of 23195664 in words is "twenty-three million, one hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 144 158 237 316 474 632 711 948 1264 1422 1896 2039 2844 3792 4078 5688 6117 8156 11376 12234 16312 18351 24468 32624 36702 48936 73404 97872 146808 161081 293616 322162 483243 644324 966486 1288648 1449729 1932972 2577296 2899458 3865944 5798916 7731888 11597832 23195664