Search a number
-
+
23188056 = 23319211241
BaseRepresentation
bin101100001110…
…1001001011000
31121122002000220
41120131021120
521414004211
62145000040
7401044443
oct130351130
947562026
1023188056
11120a8591
127923020
134a5b558
14311865a
152080806
hex161d258

23188056 has 64 divisors (see below), whose sum is σ = 61564800. Its totient is φ = 7257600.

The previous prime is 23188049. The next prime is 23188063. The reversal of 23188056 is 65088132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23188049) and next prime (23188063).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96096 + ... + 96336.

It is an arithmetic number, because the mean of its divisors is an integer number (961950).

Almost surely, 223188056 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 23188056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30782400).

23188056 is an abundant number, since it is smaller than the sum of its proper divisors (38376744).

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

23188056 is a wasteful number, since it uses less digits than its factorization.

23188056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 23188056 is about 4815.3978028819. The cubic root of 23188056 is about 285.1596766033.

The spelling of 23188056 in words is "twenty-three million, one hundred eighty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 211 228 241 422 456 482 633 723 844 964 1266 1446 1688 1928 2532 2892 4009 4579 5064 5784 8018 9158 12027 13737 16036 18316 24054 27474 32072 36632 48108 50851 54948 96216 101702 109896 152553 203404 305106 406808 610212 966169 1220424 1932338 2898507 3864676 5797014 7729352 11594028 23188056