Base | Representation |
---|---|
bin | 10101100110101110… |
… | …101000010001100100 |
3 | 2012212201202120120100 |
4 | 111212232220101210 |
5 | 340002233223400 |
6 | 14353540504100 |
7 | 1450606413642 |
oct | 254656502144 |
9 | 65781676510 |
10 | 23198336100 |
11 | 99249462a5 |
12 | 45b50ab030 |
13 | 22591b2cc4 |
14 | 11a0d9a192 |
15 | 90b93b100 |
hex | 566ba8464 |
23198336100 has 81 divisors (see below), whose sum is σ = 72728220747. Its totient is φ = 6185004480.
The previous prime is 23198336089. The next prime is 23198336101. The reversal of 23198336100 is 163389132.
The square root of 23198336100 is 152310.
It is a perfect power (a square), and thus also a powerful number.
23198336100 is a `hidden beast` number, since 2 + 3 + 1 + 9 + 8 + 33 + 610 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 4850008164 + 18348327936 = 69642^2 + 135456^2 .
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 (23198336101) 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, 4566762 + ... + 4571838.
Almost surely, 223198336100 is an apocalyptic number.
23198336100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
23198336100 is the 152310-th square number.
It is an amenable number.
23198336100 is an abundant number, since it is smaller than the sum of its proper divisors (49529884647).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23198336100 is an equidigital number, since it uses as much as digits as its factorization.
23198336100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10174 (or 5087 counting only the distinct ones).
The product of its (nonzero) digits is 23328, while the sum is 36.
Multiplying 23198336100 by its sum of digits (36), we get a square (835140099600 = 9138602).
23198336100 divided by its sum of digits (36) gives a square (644398225 = 253852).
The spelling of 23198336100 in words is "twenty-three billion, one hundred ninety-eight million, three hundred thirty-six thousand, one hundred".
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