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23189472 = 2532731103
BaseRepresentation
bin101100001110…
…1011111100000
31121122010222100
41120131133200
521414030342
62145010400
7401051535
oct130353740
947563870
1023189472
11120a9659
127923a00
134a5c0a7
143118d8c
152080e4c
hex161d7e0

23189472 has 72 divisors (see below), whose sum is σ = 66909024. Its totient is φ = 7617024.

The previous prime is 23189459. The next prime is 23189527. The reversal of 23189472 is 27498132.

23189472 is a `hidden beast` number, since 2 + 3 + 189 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×231894722 = 1075503223277568, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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, 20473 + ... + 21575.

It is an arithmetic number, because the mean of its divisors is an integer number (929292).

Almost surely, 223189472 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 23189472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33454512).

23189472 is an abundant number, since it is smaller than the sum of its proper divisors (43719552).

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

23189472 is a wasteful number, since it uses less digits than its factorization.

23189472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1181 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 23189472 is about 4815.5448289887. The cubic root of 23189472 is about 285.1654809980.

The spelling of 23189472 in words is "twenty-three million, one hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 584 657 876 1103 1168 1314 1752 2206 2336 2628 3309 3504 4412 5256 6618 7008 8824 9927 10512 13236 17648 19854 21024 26472 35296 39708 52944 79416 80519 105888 158832 161038 241557 317664 322076 483114 644152 724671 966228 1288304 1449342 1932456 2576608 2898684 3864912 5797368 7729824 11594736 23189472