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22054761125 = 533723592
BaseRepresentation
bin10100100010100100…
…001111001010100101
32002221000220221121122
4110202210033022211
5330132004324000
614044250023325
71410352243055
oct244244171245
962830827548
1022054761125
119398379511
124336117b45
1321062b6517
1410d3157565
15891349085
hex52290f2a5

22054761125 has 36 divisors (see below), whose sum is σ = 28367365572. Its totient is φ = 17119130400.

The previous prime is 22054761109. The next prime is 22054761133. The reversal of 22054761125 is 52116745022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 495418564 + 21559342561 = 22258^2 + 146831^2 .

It is not a de Polignac number, because 22054761125 - 24 = 22054761109 is a prime.

It is a super-2 number, since 2×220547611252 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61433696 + ... + 61434054.

It is an arithmetic number, because the mean of its divisors is an integer number (787982377).

Almost surely, 222054761125 is an apocalyptic number.

22054761125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22054761125 is a deficient number, since it is larger than the sum of its proper divisors (6312604447).

22054761125 is an frugal number, since it uses more digits than its factorization.

22054761125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 22054761125 in words is "twenty-two billion, fifty-four million, seven hundred sixty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 37 125 185 359 925 1369 1795 4625 6845 8975 13283 34225 44875 66415 128881 171125 332075 491471 644405 1660375 2457355 3222025 4768597 12286775 16110125 23842985 61433875 119214925 176438089 596074625 882190445 4410952225 22054761125