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922640625 = 31056
BaseRepresentation
bin110110111111100…
…110000011110001
32101022010000000000
4312333212003301
53342144000000
6231315220213
731602213234
oct6677460361
92338100000
10922640625
11433896615
12218ba7669
131191c29ca
148a77141b
1556000000
hex36fe60f1

922640625 has 77 divisors (see below), whose sum is σ = 1729919263. Its totient is φ = 492075000.

The previous prime is 922640603. The next prime is 922640639. The reversal of 922640625 is 526046229.

The square root of 922640625 is 30375.

It is a perfect power (a square), and thus also a powerful number.

922640625 is a `hidden beast` number, since 9 + 2 + 2 + 640 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 808321761 + 114318864 = 28431^2 + 10692^2 .

It is an ABA number since it can be written as A⋅BA, here for A=5, B=45.

It is a de Polignac number, because none of the positive numbers 2k-922640625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 922640625.

It is an unprimeable number.

It is a polite number, since it can be written in 76 ways as a sum of consecutive naturals, for example, 184528123 + ... + 184528127.

Almost surely, 2922640625 is an apocalyptic number.

922640625 is the 30375-th square number.

922640625 is the 15188-th centered octagonal number.

It is an amenable number.

922640625 is a deficient number, since it is larger than the sum of its proper divisors (807278638).

922640625 is an frugal number, since it uses more digits than its factorization.

922640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The cubic root of 922640625 is about 973.5184599575.

Multiplying 922640625 by its sum of digits (36), we get a square (33215062500 = 1822502).

Multiplying 922640625 by its product of nonzero digits (51840), we get a 7-th power (47829690000000 = 907).

The spelling of 922640625 in words is "nine hundred twenty-two million, six hundred forty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 243 375 405 625 675 729 1125 1215 1875 2025 2187 3125 3375 3645 5625 6075 6561 9375 10125 10935 15625 16875 18225 19683 28125 30375 32805 46875 50625 54675 59049 84375 91125 98415 140625 151875 164025 253125 273375 295245 421875 455625 492075 759375 820125 1265625 1366875 1476225 2278125 2460375 3796875 4100625 6834375 7381125 11390625 12301875 20503125 34171875 36905625 61509375 102515625 184528125 307546875 922640625