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22133313220 = 2258237134353
BaseRepresentation
bin10100100111001111…
…111000111011000100
32010010111201210211111
4110213033320323010
5330312112010340
614100133414404
71412325025654
oct244717707304
963114653744
1022133313220
1194287508a7
12435849a404
13211965a855
1410dd764364
158981b3aea
hex5273f8ec4

22133313220 has 24 divisors (see below), whose sum is σ = 46485946584. Its totient is φ = 8852184576.

The previous prime is 22133313193. The next prime is 22133313229. The reversal of 22133313220 is 2231333122.

It can be written as a sum of positive squares in 4 ways, for example, as 269550724 + 21863762496 = 16418^2 + 147864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22133313191 and 22133313200.

It is not an unprimeable number, because it can be changed into a prime (22133313229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97564 + ... + 231916.

It is an arithmetic number, because the mean of its divisors is an integer number (1936914441).

Almost surely, 222133313220 is an apocalyptic number.

22133313220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22133313220 is an abundant number, since it is smaller than the sum of its proper divisors (24352633364).

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

22133313220 is a wasteful number, since it uses less digits than its factorization.

22133313220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142599 (or 142597 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 22133313220 its reverse (2231333122), we get a palindrome (24364646342).

The spelling of 22133313220 in words is "twenty-two billion, one hundred thirty-three million, three hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 8237 16474 32948 41185 82370 134353 164740 268706 537412 671765 1343530 2687060 1106665661 2213331322 4426662644 5533328305 11066656610 22133313220