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23154688 = 2125653
BaseRepresentation
bin101100001010…
…1000000000000
31121120101021001
41120111000000
521411422223
62144141344
7400545244
oct130250000
947511231
1023154688
1112085507
127907854
134a492cb
14310a424
1520759ad
hex1615000

23154688 has 26 divisors (see below), whose sum is σ = 46311914. Its totient is φ = 11575296.

The previous prime is 23154679. The next prime is 23154689. The reversal of 23154688 is 88645132.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 21827584 + 1327104 = 4672^2 + 1152^2 .

It is a super-2 number, since 2×231546882 = 1072279152754688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23154689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1270 + ... + 6922.

Almost surely, 223154688 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 23154688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23155957).

23154688 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

23154688 is an frugal number, since it uses more digits than its factorization.

23154688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5677 (or 5655 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 23154688 is about 4811.9318365912. The cubic root of 23154688 is about 285.0228277601.

The spelling of 23154688 in words is "twenty-three million, one hundred fifty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 5653 11306 22612 45224 90448 180896 361792 723584 1447168 2894336 5788672 11577344 23154688