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22690852668 = 223211215733179
BaseRepresentation
bin10101001000011110…
…101110111100111100
32011120100211202011200
4111020132232330330
5332432324241133
614231331415500
71432205031261
oct251036567474
964510752150
1022690852668
119694438500
124493154590
1321a800a953
141153817268
158cc0e5913
hex5487aef3c

22690852668 has 108 divisors (see below), whose sum is σ = 63449251320. Its totient is φ = 6832013760.

The previous prime is 22690852643. The next prime is 22690852703. The reversal of 22690852668 is 86625809622.

22690852668 is a `hidden beast` number, since 2 + 26 + 90 + 8 + 526 + 6 + 8 = 666.

It is a super-3 number, since 3×226908526683 (a number of 32 digits) contains 333 as substring.

It is a congruent 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, 667303 + ... + 700481.

Almost surely, 222690852668 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 22690852668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31724625660).

22690852668 is an abundant number, since it is smaller than the sum of its proper divisors (40758398652).

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

22690852668 is a wasteful number, since it uses less digits than its factorization.

22690852668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33368 (or 33352 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 22690852668 in words is "twenty-two billion, six hundred ninety million, eight hundred fifty-two thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 157 198 242 314 363 396 471 484 628 726 942 1089 1413 1452 1727 1884 2178 2826 3454 4356 5181 5652 6908 10362 15543 18997 20724 31086 33179 37994 56991 62172 66358 75988 99537 113982 132716 170973 199074 227964 298611 341946 364969 398148 597222 683892 729938 1094907 1194444 1459876 2189814 3284721 4014659 4379628 5209103 6569442 8029318 10418206 12043977 13138884 15627309 16058636 20836412 24087954 31254618 36131931 46881927 48175908 57300133 62509236 72263862 93763854 114600266 144527724 171900399 187527708 229200532 343800798 515701197 630301463 687601596 1031402394 1260602926 1890904389 2062804788 2521205852 3781808778 5672713167 7563617556 11345426334 22690852668