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22117233072 = 24311371577211
BaseRepresentation
bin10100100110010010…
…100011000110110000
32010002101110212000110
4110212102203012300
5330244002424242
614054401021320
71412041244034
oct244622430660
963071425013
1022117233072
11941a668620
124353024840
13211621a67c
1410db57a1c4
15896a8939c
hex5264a31b0

22117233072 has 160 divisors (see below), whose sum is σ = 64431661824. Its totient is φ = 6478617600.

The previous prime is 22117233049. The next prime is 22117233097. The reversal of 22117233072 is 27033271122.

It is a super-2 number, since 2×221172330722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3063547 + ... + 3070757.

Almost surely, 222117233072 is an apocalyptic number.

22117233072 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 22117233072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32215830912).

22117233072 is an abundant number, since it is smaller than the sum of its proper divisors (42314428752).

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

22117233072 is a wasteful number, since it uses less digits than its factorization.

22117233072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 22117233072 in words is "twenty-two billion, one hundred seventeen million, two hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 157 176 222 264 296 314 407 444 471 528 592 628 814 888 942 1221 1256 1628 1727 1776 1884 2442 2512 3256 3454 3768 4884 5181 5809 6512 6908 7211 7536 9768 10362 11618 13816 14422 17427 19536 20724 21633 23236 27632 28844 34854 41448 43266 46472 57688 63899 69708 79321 82896 86532 92944 115376 127798 139416 158642 173064 191697 237963 255596 266807 278832 317284 346128 383394 475926 511192 533614 634568 766788 800421 951852 1022384 1067228 1132127 1269136 1533576 1600842 1903704 2134456 2264254 2934877 3067152 3201684 3396381 3807408 4268912 4528508 5869754 6403368 6792762 8804631 9057016 11739508 12453397 12806736 13585524 17609262 18114032 23479016 24906794 27171048 35218524 37360191 41888699 46958032 49813588 54342096 70437048 74720382 83777398 99627176 125666097 140874096 149440764 167554796 199254352 251332194 298881528 335109592 460775689 502664388 597763056 670219184 921551378 1005328776 1382327067 1843102756 2010657552 2764654134 3686205512 5529308268 7372411024 11058616536 22117233072