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22350733768 = 23112412332417
BaseRepresentation
bin10100110100001101…
…010010000111001000
32010200122211220202101
4110310031102013020
5331233241440033
614133501443144
71420605050056
oct246415220710
963618756671
1022350733768
11952a452100
1243b92704b4
13215270416c
14112059d1d6
158ac30e97d
hex5343521c8

22350733768 has 96 divisors (see below), whose sum is σ = 47409387480. Its totient is φ = 9865011200.

The previous prime is 22350733763. The next prime is 22350733787. The reversal of 22350733768 is 86733705322.

It can be written as a sum of positive squares in 4 ways, for example, as 16785275364 + 5565458404 = 129558^2 + 74602^2 .

It is not an unprimeable number, because it can be changed into a prime (22350733763) 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, 9246096 + ... + 9248512.

Almost surely, 222350733768 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 22350733768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23704693740).

22350733768 is an abundant number, since it is smaller than the sum of its proper divisors (25058653712).

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

22350733768 is a wasteful number, since it uses less digits than its factorization.

22350733768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 22350733768 in words is "twenty-two billion, three hundred fifty million, seven hundred thirty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 41 44 82 88 121 164 233 242 328 451 466 484 902 932 968 1804 1864 2417 2563 3608 4834 4961 5126 9553 9668 9922 10252 19106 19336 19844 20504 26587 28193 38212 39688 53174 56386 76424 99097 105083 106348 112772 198194 210166 212696 225544 292457 396388 420332 563161 584914 792776 840664 1090067 1126322 1155913 1169828 2180134 2252644 2311826 2339656 4360268 4505288 4623652 6194771 8720536 9247304 11990737 12389542 23089601 23981474 24779084 46179202 47962948 49558168 68142481 92358404 95925896 136284962 184716808 253985611 272569924 507971222 545139848 1015942444 2031884888 2793841721 5587683442 11175366884 22350733768