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22467968061 = 3711417930029
BaseRepresentation
bin10100111011001100…
…011111110000111101
32010222211110000222020
4110323030133300331
5332003244434221
614153250310353
71423530402030
oct247314376075
963884400866
1022467968061
11958a644a50
1244305883b9
132170aa0276
141131d99017
158b776aac6
hex53b31fc3d

22467968061 has 64 divisors (see below), whose sum is σ = 38745907200. Its totient is φ = 11242483200.

The previous prime is 22467968041. The next prime is 22467968063. The reversal of 22467968061 is 16086976422.

It is not a de Polignac number, because 22467968061 - 29 = 22467967549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22467967995 and 22467968013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22467968063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733195 + ... + 763223.

It is an arithmetic number, because the mean of its divisors is an integer number (605404800).

Almost surely, 222467968061 is an apocalyptic number.

22467968061 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

22467968061 is a deficient number, since it is larger than the sum of its proper divisors (16277939139).

22467968061 is a wasteful number, since it uses less digits than its factorization.

22467968061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30170.

The product of its (nonzero) digits is 1741824, while the sum is 51.

It can be divided in two parts, 22467 and 968061, that added together give a triangular number (990528 = T1407).

The spelling of 22467968061 in words is "twenty-two billion, four hundred sixty-seven million, nine hundred sixty-eight thousand, sixty-one".

Divisors: 1 3 7 11 21 33 41 77 79 123 231 237 287 451 553 861 869 1353 1659 2607 3157 3239 6083 9471 9717 18249 22673 30029 35629 68019 90087 106887 210203 249403 330319 630609 748209 990957 1231189 2312233 2372291 3693567 6936699 7116873 8618323 13543079 16606037 25854969 26095201 40629237 49818111 78285603 94801553 97263931 182666407 284404659 291791793 547999221 680847517 1069903241 2042542551 3209709723 7489322687 22467968061