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22000000008 = 2337222218423
BaseRepresentation
bin10100011111010011…
…010101110000001000
32002210012212210111010
4110133103111300020
5330024000000013
614035012203520
71406115625500
oct243723256010
962705783433
1022000000008
11936a476698
12431b9095a0
1320c7b51cac
1410c9b80a00
1588b62d7c3
hex51f4d5c08

22000000008 has 96 divisors (see below), whose sum is σ = 64015997760. Its totient is φ = 6282138240.

The previous prime is 22000000007. The next prime is 22000000021. The reversal of 22000000008 is 80000000022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (22000000007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2607685 + ... + 2616107.

It is an arithmetic number, because the mean of its divisors is an integer number (666833310).

Almost surely, 222000000008 is an apocalyptic number.

22000000008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22000000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32007998880).

22000000008 is an abundant number, since it is smaller than the sum of its proper divisors (42015997752).

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

22000000008 is a wasteful number, since it uses less digits than its factorization.

22000000008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10667 (or 10656 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 22000000008 in words is "twenty-two billion, eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2221 4442 6663 8423 8884 13326 15547 16846 17768 25269 26652 31094 33692 46641 50538 53304 58961 62188 67384 93282 101076 108829 117922 124376 176883 186564 202152 217658 235844 326487 353766 373128 412727 435316 471688 652974 707532 825454 870632 1238181 1305948 1415064 1650908 2476362 2611896 3301816 4952724 9905448 18707483 37414966 56122449 74829932 112244898 130952381 149659864 224489796 261904762 392857143 448979592 523809524 785714286 916666667 1047619048 1571428572 1833333334 2750000001 3142857144 3666666668 5500000002 7333333336 11000000004 22000000008