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22059675625 = 541324572
BaseRepresentation
bin10100100010110110…
…111110111111101001
32002221101011122001011
4110202312332333221
5330134234110000
614044543223521
71410442102051
oct244266767751
962841148034
1022059675625
1193a0125889
1243378a7ba1
132107317400
1410d3a76561
158919ba2ba
hex522dbefe9

22059675625 has 45 divisors (see below), whose sum is σ = 29914784361. Its totient is φ = 16254576000.

The previous prime is 22059675611. The next prime is 22059675691. The reversal of 22059675625 is 52657695022.

The square root of 22059675625 is 148525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 20541482329 + 1518193296 = 143323^2 + 38964^2 .

It is not a de Polignac number, because 22059675625 - 25 = 22059675593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48270397 + ... + 48270853.

Almost surely, 222059675625 is an apocalyptic number.

22059675625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22059675625 is the 148525-th square number.

22059675625 is the 74263-rd centered octagonal number.

It is an amenable number.

22059675625 is a deficient number, since it is larger than the sum of its proper divisors (7855108736).

22059675625 is an frugal number, since it uses more digits than its factorization.

22059675625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 49.

Multiplying 22059675625 by its sum of digits (49), we get a square (1080924105625 = 10396752).

The spelling of 22059675625 in words is "twenty-two billion, fifty-nine million, six hundred seventy-five thousand, six hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 325 457 625 845 1625 2285 4225 5941 8125 11425 21125 29705 57125 77233 105625 148525 208849 285625 386165 742625 1044245 1930825 2715037 3713125 5221225 9654125 13575185 26106125 35295481 48270625 67875925 130530625 176477405 339379625 882387025 1696898125 4411935125 22059675625