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22064002296 = 23371722734033
BaseRepresentation
bin10100100011000111…
…011111010011111000
32002221200022110010020
4110203013133103320
5330141341033141
614045220050440
71410523632210
oct244307372370
962850273106
1022064002296
1193a2610546
124339233a20
1321081a087b
1410d4481240
15892072266
hex5231df4f8

22064002296 has 128 divisors (see below), whose sum is σ = 67044257280. Its totient is φ = 5906866176.

The previous prime is 22064002291. The next prime is 22064002297. The reversal of 22064002296 is 69220046022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22064002291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631296 + ... + 665328.

It is an arithmetic number, because the mean of its divisors is an integer number (523783260).

Almost surely, 222064002296 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 22064002296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33522128640).

22064002296 is an abundant number, since it is smaller than the sum of its proper divisors (44980254984).

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

22064002296 is a wasteful number, since it uses less digits than its factorization.

22064002296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34293 (or 34289 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 22064002296 in words is "twenty-two billion, sixty-four million, two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 227 238 357 408 454 476 681 714 908 952 1362 1428 1589 1816 2724 2856 3178 3859 4767 5448 6356 7718 9534 11577 12712 15436 19068 23154 27013 30872 34033 38136 46308 54026 68066 81039 92616 102099 108052 136132 162078 204198 216104 238231 272264 324156 408396 476462 578561 648312 714693 816792 952924 1157122 1429386 1735683 1905848 2314244 2858772 3471366 4049927 4628488 5717544 6942732 7725491 8099854 12149781 13885464 15450982 16199708 23176473 24299562 30901964 32399416 46352946 48599124 54078437 61803928 92705892 97198248 108156874 131333347 162235311 185411784 216313748 262666694 324470622 394000041 432627496 525333388 648941244 788000082 919333429 1050666776 1297882488 1576000164 1838666858 2758000287 3152000328 3677333716 5516000574 7354667432 11032001148 22064002296