Base | Representation |
---|---|
bin | 10101100111010001… |
… | …011111100110010000 |
3 | 2012220100221220121100 |
4 | 111213101133212100 |
5 | 340012103204400 |
6 | 14354504424400 |
7 | 1451050200501 |
oct | 254721374620 |
9 | 65810856540 |
10 | 23207475600 |
11 | 992a018a01 |
12 | 45b8178100 |
13 | 225b062caa |
14 | 11a2298ba8 |
15 | 90c644100 |
hex | 56745f990 |
23207475600 has 135 divisors (see below), whose sum is σ = 80568119073. Its totient is φ = 6186222720.
The previous prime is 23207475589. The next prime is 23207475601. The reversal of 23207475600 is 657470232.
It is a happy number.
The square root of 23207475600 is 152340.
It is a perfect power (a square), and thus also a powerful number.
23207475600 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 7 + 47 + 5 + 600 = 666.
It can be written as a sum of positive squares in only one way, i.e., 8354691216 + 14852784384 = 91404^2 + 121872^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (23207475601) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9139131 + ... + 9141669.
Almost surely, 223207475600 is an apocalyptic number.
23207475600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
23207475600 is the 152340-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23207475600
23207475600 is an abundant number, since it is smaller than the sum of its proper divisors (57360643473).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23207475600 is an equidigital number, since it uses as much as digits as its factorization.
23207475600 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5102 (or 2549 counting only the distinct ones).
The product of its (nonzero) digits is 70560, while the sum is 36.
Multiplying 23207475600 by its sum of digits (36), we get a square (835469121600 = 9140402).
23207475600 divided by its sum of digits (36) gives a square (644652100 = 253902).
The spelling of 23207475600 in words is "twenty-three billion, two hundred seven million, four hundred seventy-five thousand, six hundred".
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