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23135168 = 267113457
BaseRepresentation
bin101100001000…
…0001111000000
31121112101111002
41120100033000
521410311133
62143511132
7400434320
oct130201700
947471432
1023135168
1112071881
1278b84a8
134a40464
143103280
15206ece8
hex16103c0

23135168 has 56 divisors (see below), whose sum is σ = 53047392. Its totient is φ = 9805824.

The previous prime is 23135153. The next prime is 23135191. The reversal of 23135168 is 86153132.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 23135168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50396 + ... + 50852.

Almost surely, 223135168 is an apocalyptic number.

23135168 is a gapful number since it is divisible by the number (28) 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 23135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26523696).

23135168 is an abundant number, since it is smaller than the sum of its proper divisors (29912224).

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

23135168 is a wasteful number, since it uses less digits than its factorization.

23135168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 579 counting only the distinct ones).

The product of its digits is 4320, while the sum is 29.

The square root of 23135168 is about 4809.9031175274. The cubic root of 23135168 is about 284.9427113741.

The spelling of 23135168 in words is "twenty-three million, one hundred thirty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 224 226 448 452 457 791 904 914 1582 1808 1828 3164 3199 3616 3656 6328 6398 7232 7312 12656 12796 14624 25312 25592 29248 50624 51184 51641 102368 103282 204736 206564 361487 413128 722974 826256 1445948 1652512 2891896 3305024 5783792 11567584 23135168