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22116392525 = 522953575573
BaseRepresentation
bin10100100110001111…
…010101111001001101
32010002022220011000002
4110212033111321031
5330243244030100
614054331014045
71412031143333
oct244617257115
963068804002
1022116392525
11941a144057
12435289a325
132115cb4bc6
1410db3dbb53
158969702d5
hex5263d5e4d

22116392525 has 24 divisors (see below), whose sum is σ = 28905326280. Its totient is φ = 16760656640.

The previous prime is 22116392479. The next prime is 22116392533. The reversal of 22116392525 is 52529361122.

It can be written as a sum of positive squares in 12 ways, for example, as 2288091556 + 19828300969 = 47834^2 + 140813^2 .

It is not a de Polignac number, because 22116392525 - 210 = 22116391501 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249362 + ... + 326211.

It is an arithmetic number, because the mean of its divisors is an integer number (1204388595).

Almost surely, 222116392525 is an apocalyptic number.

22116392525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22116392525 is a deficient number, since it is larger than the sum of its proper divisors (6788933755).

22116392525 is a wasteful number, since it uses less digits than its factorization.

22116392525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575665 (or 575660 counting only the distinct ones).

The product of its digits is 64800, while the sum is 38.

The spelling of 22116392525 in words is "twenty-two billion, one hundred sixteen million, three hundred ninety-two thousand, five hundred twenty-five".

Divisors: 1 5 25 29 53 145 265 725 1325 1537 7685 38425 575573 2877865 14389325 16691617 30505369 83458085 152526845 417290425 762634225 884655701 4423278505 22116392525