Base | Representation |
---|---|
bin | 101100010110… |
… | …0100010000000 |
3 | 1121202021110211 |
4 | 1120230202000 |
5 | 21423013242 |
6 | 2150203504 |
7 | 401426245 |
oct | 130544200 |
9 | 47667424 |
10 | 23251072 |
11 | 12140969 |
12 | 7953594 |
13 | 4a81140 |
14 | 31335cc |
15 | 2094317 |
hex | 162c880 |
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".
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