Base | Representation |
---|---|
bin | 10101100111101100… |
… | …110010110010100100 |
3 | 2012220212102111110220 |
4 | 111213230302302210 |
5 | 340020421211400 |
6 | 14355322044340 |
7 | 1451165055102 |
oct | 254754626244 |
9 | 65825374426 |
10 | 23214632100 |
11 | 9933066770 |
12 | 45ba6496b0 |
13 | 225c69a4ca |
14 | 11a31dcc72 |
15 | 90d0a97a0 |
hex | 567b32ca4 |
23214632100 has 288 divisors, whose sum is σ = 76195123200. Its totient is φ = 5406144000.
The previous prime is 23214632087. The next prime is 23214632123. The reversal of 23214632100 is 123641232.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15241939 + ... + 15243461.
It is an arithmetic number, because the mean of its divisors is an integer number (264566400).
Almost surely, 223214632100 is an apocalyptic number.
23214632100 is a gapful number since it is divisible by the number (20) 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 23214632100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38097561600).
23214632100 is an abundant number, since it is smaller than the sum of its proper divisors (52980491100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23214632100 is a wasteful number, since it uses less digits than its factorization.
23214632100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1731 (or 1724 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 24.
The spelling of 23214632100 in words is "twenty-three billion, two hundred fourteen million, six hundred thirty-two thousand, one hundred".
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