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22462672968 = 233217210392
BaseRepresentation
bin10100111010111000…
…010011000001001000
32010222110111000110200
4110322320103001020
5332000421013333
614152541012200
71423434366321
oct247270230110
963873430420
1022462672968
11958765873a
12442a854060
13216c968088
1411313bb448
158b7071c13
hex53ae13048

22462672968 has 108 divisors (see below), whose sum is σ = 64687784265. Its totient is φ = 7040330496.

The previous prime is 22462672937. The next prime is 22462672979. The reversal of 22462672968 is 86927626422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

22462672968 is a `hidden beast` number, since 2 + 2 + 4 + 626 + 7 + 2 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20558397924 + 1904275044 = 143382^2 + 43638^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=105978.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21618993 + ... + 21620031.

Almost surely, 222462672968 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 22462672968

22462672968 is an abundant number, since it is smaller than the sum of its proper divisors (42225111297).

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

22462672968 is a wasteful number, since it uses less digits than its factorization.

22462672968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 1061 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

It can be divided in two parts, 22 and 462672968, that added together give a triangular number (462672990 = T30419).

The spelling of 22462672968 in words is "twenty-two billion, four hundred sixty-two million, six hundred seventy-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 289 306 408 578 612 867 1039 1156 1224 1734 2078 2312 2601 3117 3468 4156 5202 6234 6936 8312 9351 10404 12468 17663 18702 20808 24936 35326 37404 52989 70652 74808 105978 141304 158967 211956 300271 317934 423912 600542 635868 900813 1079521 1201084 1271736 1801626 2159042 2402168 2702439 3238563 3603252 4318084 5404878 6477126 7206504 8636168 9715689 10809756 12954252 18351857 19431378 21619512 25908504 36703714 38862756 55055571 73407428 77725512 110111142 146814856 165166713 220222284 311981569 330333426 440444568 623963138 660666852 935944707 1247926276 1321333704 1871889414 2495852552 2807834121 3743778828 5615668242 7487557656 11231336484 22462672968