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22073106968 = 23111952125339
BaseRepresentation
bin10100100011101010…
…001110001000011000
32002222022110000101022
4110203222032020120
5330201203410333
614050143142012
71410664212353
oct244352161030
962868400338
1022073106968
1193a7769a70
1243402a4908
13210a03aa53
1410d577129a
15892c6ec98
hex523a8e218

22073106968 has 64 divisors (see below), whose sum is σ = 47618928000. Its totient is φ = 9486547200.

The previous prime is 22073106961. The next prime is 22073106971. The reversal of 22073106968 is 86960137022.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22073106961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858443 + ... + 883781.

It is an arithmetic number, because the mean of its divisors is an integer number (744045750).

Almost surely, 222073106968 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 22073106968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23809464000).

22073106968 is an abundant number, since it is smaller than the sum of its proper divisors (25545821032).

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

22073106968 is a wasteful number, since it uses less digits than its factorization.

22073106968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25896 (or 25892 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 22073106968 in words is "twenty-two billion, seventy-three million, one hundred six thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 152 209 418 521 836 1042 1672 2084 4168 5731 9899 11462 19798 22924 25339 39596 45848 50678 79192 101356 108889 202712 217778 278729 435556 481441 557458 871112 962882 1114916 1925764 2229832 3851528 5295851 10591702 13201619 21183404 26403238 42366808 52806476 105612952 145217809 250830761 290435618 501661522 580871236 1003323044 1161742472 2006646088 2759138371 5518276742 11036553484 22073106968