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22321713316 = 22743591512081
BaseRepresentation
bin10100110010011110…
…100101000010100100
32010121122020112011211
4110302132211002210
5331203324311231
614130543441204
71420103301250
oct246236450244
963548215154
1022321713316
119515030661
1243ab5b6204
1321496b2cb6
14111a7a7260
158a99caeb1
hex5327a50a4

22321713316 has 96 divisors (see below), whose sum is σ = 46786037760. Its totient is φ = 9120384000.

The previous prime is 22321713283. The next prime is 22321713317. The reversal of 22321713316 is 61331712322.

It is a super-3 number, since 3×223217133163 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (22321713317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10725396 + ... + 10727476.

It is an arithmetic number, because the mean of its divisors is an integer number (487354560).

Almost surely, 222321713316 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 22321713316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23393018880).

22321713316 is an abundant number, since it is smaller than the sum of its proper divisors (24464324444).

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

22321713316 is a wasteful number, since it uses less digits than its factorization.

22321713316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2343 counting only the distinct ones).

The product of its digits is 9072, while the sum is 31.

The spelling of 22321713316 in words is "twenty-two billion, three hundred twenty-one million, seven hundred thirteen thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 28 43 59 86 118 151 172 236 301 302 413 602 604 826 1057 1204 1652 2081 2114 2537 4162 4228 5074 6493 8324 8909 10148 12986 14567 17759 17818 25972 29134 35518 35636 45451 58268 62363 71036 89483 90902 122779 124726 178966 181804 245558 249452 314231 357932 383087 491116 626381 628462 766174 859453 1252762 1256924 1532348 1718906 2199617 2505524 2681609 3437812 4399234 5279497 5363218 8798468 10558994 10726436 13511933 18539629 21117988 27023866 36956479 37079258 54047732 73912958 74158516 94583531 129777403 147825916 189167062 259554806 378334124 519109612 797204047 1594408094 3188816188 5580428329 11160856658 22321713316