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22142300032 = 2789221839
BaseRepresentation
bin10100100111110010…
…001010111110000000
32010011010122101102101
4110213302022332000
5330321412100112
614101054200144
71412464305406
oct244762127600
963133571371
1022142300032
119432829816
12435b4b3054
13211b4861a8
141100a23476
15898d8b757
hex527c8af80

22142300032 has 48 divisors (see below), whose sum is σ = 44614861200. Its totient is φ = 10946253824.

The previous prime is 22142299979. The next prime is 22142300057. The reversal of 22142300032 is 23000324122.

It is a junction number, because it is equal to n+sod(n) for n = 22142299982 and 22142300009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1002969 + ... + 1024807.

It is an arithmetic number, because the mean of its divisors is an integer number (929476275).

Almost surely, 222142300032 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 22142300032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22307430600).

22142300032 is an abundant number, since it is smaller than the sum of its proper divisors (22472561168).

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

22142300032 is an frugal number, since it uses more digits than its factorization.

22142300032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22031 (or 21930 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 22142300032 its reverse (23000324122), we get a palindrome (45142624154).

The spelling of 22142300032 in words is "twenty-two billion, one hundred forty-two million, three hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 89 128 178 356 712 1424 2848 5696 7921 11392 15842 21839 31684 43678 63368 87356 126736 174712 253472 349424 506944 698848 1013888 1397696 1943671 2795392 3887342 7774684 15549368 31098736 62197472 124394944 172986719 248789888 345973438 691946876 1383893752 2767787504 5535575008 11071150016 22142300032