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23049664 = 2611291129
BaseRepresentation
bin101011111101…
…1010111000000
31121101001012021
41113323113000
521400042124
62142011224
7366630121
oct127732700
947331167
1023049664
1112013610
127876b14
134a10571
1430c0048
1520547e4
hex15fb5c0

23049664 has 56 divisors (see below), whose sum is σ = 51663600. Its totient is φ = 10106880.

The previous prime is 23049661. The next prime is 23049673. The reversal of 23049664 is 46694032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23049661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19852 + ... + 20980.

Almost surely, 223049664 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 23049664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25831800).

23049664 is an abundant number, since it is smaller than the sum of its proper divisors (28613936).

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

23049664 is a wasteful number, since it uses less digits than its factorization.

23049664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 23049664 is about 4801.0065611286. The cubic root of 23049664 is about 284.5912433083.

It can be divided in two parts, 230 and 49664, that added together give a palindrome (49894).

The spelling of 23049664 in words is "twenty-three million, forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 176 232 319 352 464 638 704 928 1129 1276 1856 2258 2552 4516 5104 9032 10208 12419 18064 20416 24838 32741 36128 49676 65482 72256 99352 130964 198704 261928 360151 397408 523856 720302 794816 1047712 1440604 2095424 2881208 5762416 11524832 23049664