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22277055025 = 52298512
BaseRepresentation
bin10100101111110100…
…001110001000110001
32010111112012122112001
4110233310032020301
5331110411230100
614122310334001
71416021562201
oct245764161061
963445178461
1022277055025
1194a18a9185
12439865a301
132140378084
1411148a0401
158a5b08d6a
hex52fd0e231

22277055025 has 9 divisors (see below), whose sum is σ = 27624473643. Its totient is φ = 17821047000.

The previous prime is 22277054993. The next prime is 22277055089. The reversal of 22277055025 is 52055077222.

The square root of 22277055025 is 149255.

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

It can be written as a sum of positive squares in only one way, i.e., 8019739809 + 14257315216 = 89553^2 + 119404^2 .

It is not a de Polignac number, because 22277055025 - 25 = 22277054993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 731350 + ... + 761200.

Almost surely, 222277055025 is an apocalyptic number.

22277055025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

22277055025 is the 149255-th square number.

22277055025 is the 74628-th centered octagonal number.

It is an amenable number.

22277055025 is a deficient number, since it is larger than the sum of its proper divisors (5347418618).

22277055025 is an frugal number, since it uses more digits than its factorization.

22277055025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59712 (or 29856 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 37.

The spelling of 22277055025 in words is "twenty-two billion, two hundred seventy-seven million, fifty-five thousand, twenty-five".

Divisors: 1 5 25 29851 149255 746275 891082201 4455411005 22277055025