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22295364168 = 23372112156683
BaseRepresentation
bin10100110000111010…
…000100001001001000
32010112210122211221110
4110300322010021020
5331130103123133
614124203010320
71416333316500
oct246072041110
963483584843
1022295364168
119501174100
1243a28099a0
1321440b899c
1411170a8a00
158a7523c63
hex530e84248

22295364168 has 144 divisors (see below), whose sum is σ = 71269284240. Its totient is φ = 5790966720.

The previous prime is 22295364151. The next prime is 22295364193. The reversal of 22295364168 is 86146359222.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63955 + ... + 220637.

It is an arithmetic number, because the mean of its divisors is an integer number (494925585).

Almost surely, 222295364168 is an apocalyptic number.

22295364168 is a gapful number since it is divisible by the number (28) 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 22295364168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35634642120).

22295364168 is an abundant number, since it is smaller than the sum of its proper divisors (48973920072).

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

22295364168 is a wasteful number, since it uses less digits than its factorization.

22295364168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156728 (or 156706 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The spelling of 22295364168 in words is "twenty-two billion, two hundred ninety-five million, three hundred sixty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 121 132 147 154 168 196 231 242 264 294 308 363 392 462 484 539 588 616 726 847 924 968 1078 1176 1452 1617 1694 1848 2156 2541 2904 3234 3388 4312 5082 5929 6468 6776 10164 11858 12936 17787 20328 23716 35574 47432 71148 142296 156683 313366 470049 626732 940098 1096781 1253464 1723513 1880196 2193562 3290343 3447026 3760392 4387124 5170539 6580686 6894052 7677467 8774248 10341078 12064591 13161372 13788104 15354934 18958643 20682156 23032401 24129182 26322744 30709868 36193773 37917286 41364312 46064802 48258364 56875929 61419736 72387546 75834572 84452137 92129604 96516728 113751858 132710501 144775092 151669144 168904274 184259208 227503716 253356411 265421002 289550184 337808548 398131503 455007432 506712822 530842004 675617096 796263006 928973507 1013425644 1061684008 1592526012 1857947014 2026851288 2786920521 3185052024 3715894028 5573841042 7431788056 11147682084 22295364168