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79222546225 = 5241213732
BaseRepresentation
bin100100111001000001…
…0000001111100110001
321120111011012022220201
41021302002001330301
52244221432434400
6100221102035201
75503131350344
oct1116202017461
9246434168821
1079222546225
11306640755a9
121342b578b01
1376170472b4
143b977dc45b
1520da0ec06a
hex1272081f31

79222546225 has 27 divisors (see below), whose sum is σ = 100763784739. Its totient is φ = 61787196800.

The previous prime is 79222546211. The next prime is 79222546237. The reversal of 79222546225 is 52264522297.

The square root of 79222546225 is 281465.

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

It can be written as a sum of positive squares in 13 ways, for example, as 41874664689 + 37347881536 = 204633^2 + 193256^2 .

It is not a de Polignac number, because 79222546225 - 219 = 79222021937 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 57699639 + ... + 57701011.

Almost surely, 279222546225 is an apocalyptic number.

79222546225 is the 281465-th square number.

79222546225 is the 140733-rd centered octagonal number.

It is an amenable number.

79222546225 is a deficient number, since it is larger than the sum of its proper divisors (21541238514).

79222546225 is an frugal number, since it uses more digits than its factorization.

79222546225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 1419 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The spelling of 79222546225 in words is "seventy-nine billion, two hundred twenty-two million, five hundred forty-six thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 1373 1681 6865 8405 34325 42025 56293 281465 1407325 1885129 2308013 9425645 11540065 47128225 57700325 77290289 386451445 1932257225 3168901849 15844509245 79222546225