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292664770225 = 5225724212
BaseRepresentation
bin1000100001001000010…
…11011111111010110001
31000222102022101202011021
410100210023133322301
514243334140121400
6342240501415441
730100335333652
oct4204413377261
91028368352137
10292664770225
111031336a6633
1248878a0a581
13217a1241669
1410244c81529
15792d72771a
hex44242dfeb1

292664770225 has 27 divisors (see below), whose sum is σ = 365189316771. Its totient is φ = 232666828800.

The previous prime is 292664770219. The next prime is 292664770231. The reversal of 292664770225 is 522077466292.

The square root of 292664770225 is 540985.

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

It is an interprime number because it is at equal distance from previous prime (292664770219) and next prime (292664770231).

It can be written as a sum of positive squares in 13 ways, for example, as 202722361009 + 89942409216 = 450247^2 + 299904^2 .

It is a de Polignac number, because none of the positive numbers 2k-292664770225 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 695165515 + ... + 695165935.

Almost surely, 2292664770225 is an apocalyptic number.

292664770225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

292664770225 is the 540985-th square number.

292664770225 is the 270493-rd centered octagonal number.

It is an amenable number.

292664770225 is a deficient number, since it is larger than the sum of its proper divisors (72524546546).

292664770225 is an frugal number, since it uses more digits than its factorization.

292664770225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 292664770225 in words is "two hundred ninety-two billion, six hundred sixty-four million, seven hundred seventy thousand, two hundred twenty-five".

Divisors: 1 5 25 257 421 1285 2105 6425 10525 66049 108197 177241 330245 540985 886205 1651225 2704925 4431025 27806629 45550937 139033145 227754685 695165725 1138773425 11706590809 58532954045 292664770225