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22232122120 = 2351362576833
BaseRepresentation
bin10100101101001000…
…110100001100001000
32010101101122211011101
4110231020310030020
5331012410401440
614114023311144
71414634630365
oct245510641410
963341584141
1022232122120
1194794a944a
1243855ab4b4
132133c75160
14110c92546c
158a1bd069a
hex52d234308

22232122120 has 64 divisors (see below), whose sum is σ = 53886636720. Its totient is φ = 8206270464.

The previous prime is 22232122117. The next prime is 22232122123. The reversal of 22232122120 is 2122123222.

It is an interprime number because it is at equal distance from previous prime (22232122117) and next prime (22232122123).

It can be written as a sum of positive squares in 8 ways, for example, as 8124859044 + 14107263076 = 90138^2 + 118774^2 .

It is not an unprimeable number, because it can be changed into a prime (22232122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3250224 + ... + 3257056.

Almost surely, 222232122120 is an apocalyptic number.

22232122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22232122120 is an abundant number, since it is smaller than the sum of its proper divisors (31654514600).

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

22232122120 is a wasteful number, since it uses less digits than its factorization.

22232122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13114 (or 13110 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22232122120 its reverse (2122123222), we get a palindrome (24354245342).

The spelling of 22232122120 in words is "twenty-two billion, two hundred thirty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 6257 6833 12514 13666 25028 27332 31285 34165 50056 54664 62570 68330 81341 88829 125140 136660 162682 177658 250280 273320 325364 355316 406705 444145 650728 710632 813410 888290 1626820 1776580 3253640 3553160 42754081 85508162 171016324 213770405 342032648 427540810 555803053 855081620 1111606106 1710163240 2223212212 2779015265 4446424424 5558030530 11116061060 22232122120