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22238265625 = 5611932
BaseRepresentation
bin10100101101100000…
…010000000100011001
32010101211012221110121
4110231200100010121
5331020444000000
614114403113241
71415041065442
oct245540200431
963354187417
1022238265625
119481a15124
124387672821
132135316574
14110d6842c9
158a24e5b1a
hex52d810119

22238265625 has 21 divisors (see below), whose sum is σ = 27820796233. Its totient is φ = 17775700000.

The previous prime is 22238265571. The next prime is 22238265631. The reversal of 22238265625 is 52656283222.

The square root of 22238265625 is 149125.

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

It can be written as a sum of positive squares in 10 ways, for example, as 18671309449 + 3566956176 = 136643^2 + 59724^2 .

It is not a de Polignac number, because 22238265625 - 29 = 22238265113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 18640029 + ... + 18641221.

Almost surely, 222238265625 is an apocalyptic number.

22238265625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22238265625 is the 149125-th square number.

22238265625 is the 74563-rd centered octagonal number.

It is an amenable number.

22238265625 is a deficient number, since it is larger than the sum of its proper divisors (5582530608).

22238265625 is an frugal number, since it uses more digits than its factorization.

22238265625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 1198 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 22238265625 in words is "twenty-two billion, two hundred thirty-eight million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1193 3125 5965 15625 29825 149125 745625 1423249 3728125 7116245 18640625 35581225 177906125 889530625 4447653125 22238265625