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22101404430024 = 2332306963950417
BaseRepresentation
bin1010000011001111000100…
…10111000010111011001000
32220020212120212122010200100
411001213202113002323020
510344102134013230044
6115001124532005400
74440526255661433
oct501474227027310
986225525563610
1022101404430024
117051175688a97
12258b497760860
13c441cc2c780a
145659dc4b481a
15284d9551a869
hex1419e25c2ec8

22101404430024 has 24 divisors (see below), whose sum is σ = 59857970331510. Its totient is φ = 7367134809984.

The previous prime is 22101404429977. The next prime is 22101404430029. The reversal of 22101404430024 is 42003440410122.

22101404430024 is a `hidden beast` number, since 2 + 210 + 1 + 4 + 0 + 443 + 0 + 0 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22101375464100 + 28965924 = 4701210^2 + 5382^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22101404430024.

It is not an unprimeable number, because it can be changed into a prime (22101404430029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 153481975137 + ... + 153481975280.

Almost surely, 222101404430024 is an apocalyptic number.

22101404430024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22101404430024 is an abundant number, since it is smaller than the sum of its proper divisors (37756565901486).

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

22101404430024 is a wasteful number, since it uses less digits than its factorization.

22101404430024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306963950429 (or 306963950422 counting only the distinct ones).

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

Adding to 22101404430024 its reverse (42003440410122), we get a palindrome (64104844840146).

The spelling of 22101404430024 in words is "twenty-two trillion, one hundred one billion, four hundred four million, four hundred thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 306963950417 613927900834 920891851251 1227855801668 1841783702502 2455711603336 2762675553753 3683567405004 5525351107506 7367134810008 11050702215012 22101404430024