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22224341142 = 2351092811493
BaseRepresentation
bin10100101100101011…
…001000100010010110
32010100212000111200000
4110230223020202112
5331003412404032
614113144432130
71414511532333
oct245453104226
963325014600
1022224341142
119475074493
124382a78646
13213247c623
14110b89b98a
158a1194e7c
hex52cac8896

22224341142 has 96 divisors (see below), whose sum is σ = 50607516960. Its totient is φ = 7309128960.

The previous prime is 22224341101. The next prime is 22224341177. The reversal of 22224341142 is 24114342222.

It is a happy number.

22224341142 is a `hidden beast` number, since 2 + 2 + 2 + 243 + 411 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14884948 + ... + 14886440.

It is an arithmetic number, because the mean of its divisors is an integer number (527161635).

Almost surely, 222224341142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22224341142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25303758480).

22224341142 is an abundant number, since it is smaller than the sum of its proper divisors (28383175818).

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

22224341142 is a wasteful number, since it uses less digits than its factorization.

22224341142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1888 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

Adding to 22224341142 its reverse (24114342222), we get a palindrome (46338683364).

The spelling of 22224341142 in words is "twenty-two billion, two hundred twenty-four million, three hundred forty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 109 162 218 243 281 327 486 562 654 843 981 1493 1686 1962 2529 2943 2986 4479 5058 5886 7587 8829 8958 13437 15174 17658 22761 26487 26874 30629 40311 45522 52974 61258 68283 80622 91887 120933 136566 162737 183774 241866 275661 325474 362799 419533 488211 551322 725598 826983 839066 976422 1258599 1464633 1653966 2480949 2517198 2929266 3775797 4393899 4961898 7442847 7551594 8787798 11327391 13181697 14885694 22654782 26363394 33982173 39545091 45729097 67964346 79090182 91458194 101946519 137187291 203893038 274374582 411561873 823123746 1234685619 2469371238 3704056857 7408113714 11112170571 22224341142