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22264047225 = 3252714135903
BaseRepresentation
bin10100101111000010…
…100110011001111001
32010110121201210011200
4110233002212121321
5331044044002400
614121123444413
71415503164450
oct245702463171
963417653150
1022264047225
119495524232
124394226709
13213a772454
141112c75b97
158a48d9b00
hex52f0a6679

22264047225 has 36 divisors (see below), whose sum is σ = 45574154496. Its totient is φ = 10177849440.

The previous prime is 22264047203. The next prime is 22264047227. The reversal of 22264047225 is 52274046222.

22264047225 is a `hidden beast` number, since 2 + 2 + 2 + 640 + 4 + 7 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 22264047225 - 25 = 22264047193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22264047225.

It is not an unprimeable number, because it can be changed into a prime (22264047227) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7066377 + ... + 7069526.

It is an arithmetic number, because the mean of its divisors is an integer number (1265948736).

Almost surely, 222264047225 is an apocalyptic number.

22264047225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22264047225 is an abundant number, since it is smaller than the sum of its proper divisors (23310107271).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22264047225 is a wasteful number, since it uses less digits than its factorization.

22264047225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14135926 (or 14135918 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 22264047225 in words is "twenty-two billion, two hundred sixty-four million, forty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 175 225 315 525 1575 14135903 42407709 70679515 98951321 127223127 212038545 296853963 353397575 494756605 636115635 890561889 1060192725 1484269815 2473783025 3180578175 4452809445 7421349075 22264047225