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22144145024 = 278310931907
BaseRepresentation
bin10100100111111001…
…001101011010000000
32010011021010010021102
4110213321031122000
5330322400120044
614101201513532
71412516061401
oct244771153200
963137103242
1022144145024
119433879a01
1243600428a8
13211b980bc1
141100d839a8
1589910324e
hex527e4d680

22144145024 has 64 divisors (see below), whose sum is σ = 44711079840. Its totient is φ = 10922935296.

The previous prime is 22144145011. The next prime is 22144145033. The reversal of 22144145024 is 42054144122.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11611079 + ... + 11612985.

Almost surely, 222144145024 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 22144145024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22355539920).

22144145024 is an abundant number, since it is smaller than the sum of its proper divisors (22566934816).

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

22144145024 is a wasteful number, since it uses less digits than its factorization.

22144145024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 22144145024 its reverse (42054144122), we get a palindrome (64198289146).

The spelling of 22144145024 in words is "twenty-two billion, one hundred forty-four million, one hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 664 1093 1328 1907 2186 2656 3814 4372 5312 7628 8744 10624 15256 17488 30512 34976 61024 69952 90719 122048 139904 158281 181438 244096 316562 362876 633124 725752 1266248 1451504 2084351 2532496 2903008 4168702 5064992 5806016 8337404 10129984 11612032 16674808 20259968 33349616 66699232 133398464 173001133 266796928 346002266 692004532 1384009064 2768018128 5536036256 11072072512 22144145024