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23251072 = 271389157
BaseRepresentation
bin101100010110…
…0100010000000
31121202021110211
41120230202000
521423013242
62150203504
7401426245
oct130544200
947667424
1023251072
1112140969
127953594
134a81140
1431335cc
152094317
hex162c880

23251072 has 64 divisors (see below), whose sum is σ = 50765400. Its totient is φ = 10543104.

The previous prime is 23251061. The next prime is 23251073. The reversal of 23251072 is 27015232.

It can be written as a sum of positive squares in 4 ways, for example, as 9884736 + 13366336 = 3144^2 + 3656^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×232510722 = 1081224698298368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23251073) 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, 148018 + ... + 148174.

Almost surely, 223251072 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 23251072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25382700).

23251072 is an abundant number, since it is smaller than the sum of its proper divisors (27514328).

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

23251072 is a wasteful number, since it uses less digits than its factorization.

23251072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 23251072 is about 4821.9365404368. The cubic root of 23251072 is about 285.4177601701.

The spelling of 23251072 in words is "twenty-three million, two hundred fifty-one thousand, seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 89 104 128 157 178 208 314 356 416 628 712 832 1157 1256 1424 1664 2041 2314 2512 2848 4082 4628 5024 5696 8164 9256 10048 11392 13973 16328 18512 20096 27946 32656 37024 55892 65312 74048 111784 130624 148096 181649 223568 261248 363298 447136 726596 894272 1453192 1788544 2906384 5812768 11625536 23251072