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22905080336 = 24192413112
BaseRepresentation
bin10101010101001111…
…111100101000010000
32012010021221122021202
4111111033330220100
5333402200032321
614304503210332
71440415653605
oct252517745020
965107848252
1022905080336
119794358966
124532a469a8
132210506b98
1411740606ac
158e0d1070b
hex5553fca10

22905080336 has 90 divisors (see below), whose sum is σ = 48134384046. Its totient is φ = 10551110400.

The previous prime is 22905080327. The next prime is 22905080371. The reversal of 22905080336 is 63308050922.

It can be written as a sum of positive squares in only one way, i.e., 13966512400 + 8938567936 = 118180^2 + 94544^2 .

It is a super-2 number, since 2×229050803362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 22905080336.

It is a congruent 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 17 ways as a sum of consecutive naturals, for example, 73649621 + ... + 73649931.

Almost surely, 222905080336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22905080336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24067192023).

22905080336 is an abundant number, since it is smaller than the sum of its proper divisors (25229303710).

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

22905080336 is an equidigital number, since it uses as much as digits as its factorization.

22905080336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 22905080336 in words is "twenty-two billion, nine hundred five million, eighty thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 19 38 41 76 82 152 164 304 311 328 361 622 656 722 779 1244 1444 1558 2488 2888 3116 4976 5776 5909 6232 11818 12464 12751 14801 23636 25502 29602 47272 51004 59204 94544 96721 102008 112271 118408 193442 204016 224542 236816 242269 386884 449084 484538 773768 898168 969076 1547536 1796336 1837699 1938152 3675398 3876304 3965561 4603111 7350796 7931122 9206222 14701592 15862244 18412444 29403184 31724488 34916281 36824888 63448976 69832562 73649776 75345659 139665124 150691318 279330248 301382636 558660496 602765272 1205530544 1431567521 2863135042 5726270084 11452540168 22905080336