Base | Representation |
---|---|
bin | 10100010110011111… |
… | …101001001111100001 |
3 | 2002101220211100000000 |
4 | 110112133221033201 |
5 | 324223132340000 |
6 | 14012213050213 |
7 | 1402342616121 |
oct | 242637511741 |
9 | 62356740000 |
10 | 21852230625 |
11 | 92a4018335 |
12 | 429a326969 |
13 | 20a33544a4 |
14 | 10b42b6c81 |
15 | 87d690000 |
hex | 5167e93e1 |
21852230625 has 135 divisors (see below), whose sum is σ = 41526490863. Its totient is φ = 11494872000.
The previous prime is 21852230567. The next prime is 21852230633. The reversal of 21852230625 is 52603225812.
It is a happy number.
The square root of 21852230625 is 147825.
It is a perfect power (a square), and thus also a powerful number.
21852230625 is a `hidden beast` number, since 2 + 1 + 8 + 5 + 2 + 23 + 0 + 625 = 666.
It can be written as a sum of positive squares in 7 ways, for example, as 15499503009 + 6352727616 = 124497^2 + 79704^2 .
It is a tau number, because it is divible by the number of its divisors (135).
It is a de Polignac number, because none of the positive numbers 2k-21852230625 is a prime.
It is a self number, because there is not a number n which added to its sum of digits gives 21852230625.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 299345589 + ... + 299345661.
Almost surely, 221852230625 is an apocalyptic number.
21852230625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.
21852230625 is the 147825-th square number.
21852230625 is the 73913-rd centered octagonal number.
It is an amenable number.
21852230625 is a deficient number, since it is larger than the sum of its proper divisors (19674260238).
21852230625 is an frugal number, since it uses more digits than its factorization.
21852230625 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 190 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
Multiplying 21852230625 by its sum of digits (36), we get a square (786680302500 = 8869502).
The spelling of 21852230625 in words is "twenty-one billion, eight hundred fifty-two million, two hundred thirty thousand, six hundred twenty-five".
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