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21852230625 = 3854732
BaseRepresentation
bin10100010110011111…
…101001001111100001
32002101220211100000000
4110112133221033201
5324223132340000
614012213050213
71402342616121
oct242637511741
962356740000
1021852230625
1192a4018335
12429a326969
1320a33544a4
1410b42b6c81
1587d690000
hex5167e93e1

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".

Divisors: 1 3 5 9 15 25 27 45 73 75 81 125 135 219 225 243 365 375 405 625 657 675 729 1095 1125 1215 1825 1875 1971 2025 2187 3285 3375 3645 5329 5475 5625 5913 6075 6561 9125 9855 10125 10935 15987 16425 16875 17739 18225 26645 27375 29565 30375 32805 45625 47961 49275 50625 53217 54675 79935 82125 88695 91125 133225 136875 143883 147825 151875 159651 164025 239805 246375 266085 273375 399675 410625 431649 443475 455625 478953 666125 719415 739125 798255 820125 1199025 1231875 1294947 1330425 1366875 1998375 2158245 2217375 2394765 3330625 3597075 3695625 3884841 3991275 4100625 5995125 6474735 6652125 9991875 10791225 11086875 11654523 11973825 17985375 19424205 19956375 29975625 32373675 33260625 34963569 53956125 58272615 59869125 89926875 97121025 99781875 161868375 174817845 269780625 291363075 299345625 485605125 809341875 874089225 1456815375 2428025625 4370446125 7284076875 21852230625