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22680861525 = 32527217121013
BaseRepresentation
bin10101000111111000…
…100111101101010101
32011112200001010220100
4111013320213231111
5332422300032100
614230333324313
71432024066500
oct250770475525
964480033810
1022680861525
119689833a63
12448b936699
1321a5c2012a
141152376137
158cb2c0400
hex547e27b55

22680861525 has 108 divisors (see below), whose sum is σ = 50036626692. Its totient is φ = 9758407680.

The previous prime is 22680861523. The next prime is 22680861529. The reversal of 22680861525 is 52516808622.

It is a happy number.

22680861525 is a `hidden beast` number, since 2 + 2 + 6 + 8 + 0 + 8 + 615 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1189008324 + 21491853201 = 34482^2 + 146601^2 .

It is not a de Polignac number, because 22680861525 - 21 = 22680861523 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680861523) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 126919 + ... + 247931.

It is an arithmetic number, because the mean of its divisors is an integer number (463302099).

Almost surely, 222680861525 is an apocalyptic number.

22680861525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22680861525 is an abundant number, since it is smaller than the sum of its proper divisors (27355765167).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22680861525 is a wasteful number, since it uses less digits than its factorization.

22680861525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121060 (or 121045 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 22680861525 in words is "twenty-two billion, six hundred eighty million, eight hundred sixty-one thousand, five hundred twenty-five".

Divisors: 1 3 5 7 9 15 17 21 25 35 45 49 51 63 75 85 105 119 147 153 175 225 245 255 315 357 425 441 525 595 735 765 833 1071 1225 1275 1575 1785 2205 2499 2975 3675 3825 4165 5355 7497 8925 11025 12495 20825 26775 37485 62475 121013 187425 363039 605065 847091 1089117 1815195 2057221 2541273 3025325 4235455 5445585 5929637 6171663 7623819 9075975 10286105 12706365 14400547 17788911 18514989 21177275 27227925 29648185 30858315 38119095 43201641 51430525 53366733 63531825 72002735 88944555 92574945 100803829 129604923 148240925 154291575 190595475 216008205 266833665 302411487 360013675 444722775 462874725 504019145 648024615 907234461 1080041025 1334168325 1512057435 2520095725 3240123075 4536172305 7560287175 22680861525