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22801346685 = 32513100938629
BaseRepresentation
bin10101001111000100…
…001111000001111101
32011212001202102110200
4111033010033001331
5333144121043220
614250315554113
71435016151255
oct251704170175
964761672420
1022801346685
119740847277
12450415b939
1321c4b86b20
14116437a965
158d6b6e890
hex54f10f07d

22801346685 has 48 divisors (see below), whose sum is σ = 42605799600. Its totient is φ = 11213862912.

The previous prime is 22801346683. The next prime is 22801346693. The reversal of 22801346685 is 58664310822.

22801346685 is a `hidden beast` number, since 22 + 80 + 13 + 466 + 85 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8908716996 + 13892629689 = 94386^2 + 117867^2 .

It is not a de Polignac number, because 22801346685 - 21 = 22801346683 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 22801346685.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22801346683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 570951 + ... + 609579.

It is an arithmetic number, because the mean of its divisors is an integer number (887620825).

Almost surely, 222801346685 is an apocalyptic number.

It is an amenable number.

22801346685 is a deficient number, since it is larger than the sum of its proper divisors (19804452915).

22801346685 is a wasteful number, since it uses less digits than its factorization.

22801346685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39662 (or 39659 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 22801346685 in words is "twenty-two billion, eight hundred one million, three hundred forty-six thousand, six hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1009 3027 5045 9081 13117 15135 38629 39351 45405 65585 115887 118053 193145 196755 347661 502177 579435 590265 1506531 1738305 2510885 4519593 7532655 22597965 38976661 116929983 194883305 350789949 506696593 584649915 1520089779 1753949745 2533482965 4560269337 7600448895 22801346685