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22213676672 = 271141973967
BaseRepresentation
bin10100101100000010…
…011100111010000000
32010100002221200202122
4110230002130322000
5330443200123142
614112124103412
71414322064515
oct245402347200
963302850678
1022213676672
11946a050080
12437b394b68
1321301b74a5
14110a2c330c
158a028a1d2
hex52c09ce80

22213676672 has 128 divisors (see below), whose sum is σ = 49976801280. Its totient is φ = 9746841600.

The previous prime is 22213676657. The next prime is 22213676729. The reversal of 22213676672 is 27667631222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5597633 + ... + 5601599.

It is an arithmetic number, because the mean of its divisors is an integer number (390443760).

Almost surely, 222213676672 is an apocalyptic number.

22213676672 is a gapful number since it is divisible by the number (22) 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 22213676672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24988400640).

22213676672 is an abundant number, since it is smaller than the sum of its proper divisors (27763124608).

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

22213676672 is a wasteful number, since it uses less digits than its factorization.

22213676672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4118 counting only the distinct ones).

The product of its digits is 508032, while the sum is 44.

The spelling of 22213676672 in words is "twenty-two billion, two hundred thirteen million, six hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 97 128 164 176 194 328 352 388 451 656 704 776 902 1067 1312 1408 1552 1804 2134 2624 3104 3608 3967 3977 4268 5248 6208 7216 7934 7954 8536 12416 14432 15868 15908 17072 28864 31736 31816 34144 43637 43747 57728 63472 63632 68288 87274 87494 126944 127264 136576 162647 174548 174988 253888 254528 325294 349096 349976 384799 507776 509056 650588 698192 699952 769598 1301176 1396384 1399904 1539196 1789117 2602352 2792768 2799808 3078392 3578234 4232789 5204704 5585536 5599616 6156784 7156468 8465578 10409408 12313568 14312936 15776759 16931156 20818816 24627136 28625872 31553518 33862312 49254272 57251744 63107036 67724624 114503488 126214072 135449248 173544349 229006976 252428144 270898496 347088698 504856288 541796992 694177396 1009712576 1388354792 2019425152 2776709584 5553419168 11106838336 22213676672