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22880138634 = 2333671154513
BaseRepresentation
bin10101010011110000…
…110011010110001010
32012001120000110201000
4111103300303112022
5333324303414014
614302212435430
71436663653353
oct252360632612
965046013630
1022880138634
119781272891
124526618b76
1322082b3392
141170a0ad2a
158dda35509
hex553c3358a

22880138634 has 32 divisors (see below), whose sum is σ = 50983338240. Its totient is φ = 7605925056.

The previous prime is 22880138591. The next prime is 22880138717. The reversal of 22880138634 is 43683108822.

22880138634 is a `hidden beast` number, since 2 + 2 + 8 + 8 + 0 + 1 + 3 + 8 + 634 = 666.

It is a super-3 number, since 3×228801386343 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 22880138634.

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 15 ways as a sum of consecutive naturals, for example, 557439 + ... + 597074.

It is an arithmetic number, because the mean of its divisors is an integer number (1593229320).

Almost surely, 222880138634 is an apocalyptic number.

22880138634 is an abundant number, since it is smaller than the sum of its proper divisors (28103199606).

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

22880138634 is a wasteful number, since it uses less digits than its factorization.

22880138634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154891 (or 1154885 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 22880138634 in words is "twenty-two billion, eight hundred eighty million, one hundred thirty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 367 734 1101 2202 3303 6606 9909 19818 1154513 2309026 3463539 6927078 10390617 20781234 31171851 62343702 423706271 847412542 1271118813 2542237626 3813356439 7626712878 11440069317 22880138634