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22132223322 = 2311643521519
BaseRepresentation
bin10100100111001011…
…101110110101011010
32010010102200102202220
4110213023232311122
5330311322121242
614100054204510
71412312536266
oct244713566532
963112612686
1022132223322
119428076a60
124358053736
132119368741
1410dd55d0a6
1589804abec
hex5272eed5a

22132223322 has 32 divisors (see below), whose sum is σ = 48363678720. Its totient is φ = 6696291120.

The previous prime is 22132223303. The next prime is 22132223329. The reversal of 22132223322 is 22332223122.

It is a super-3 number, since 3×221322233223 (a number of 32 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22132223292 and 22132223301.

It is not an unprimeable number, because it can be changed into a prime (22132223329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218322 + ... + 303197.

It is an arithmetic number, because the mean of its divisors is an integer number (1511364960).

Almost surely, 222132223322 is an apocalyptic number.

22132223322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22132223322 is an abundant number, since it is smaller than the sum of its proper divisors (26231455398).

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

22132223322 is a wasteful number, since it uses less digits than its factorization.

22132223322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522178.

The product of its digits is 3456, while the sum is 24.

Adding to 22132223322 its reverse (22332223122), we get a palindrome (44464446444).

The spelling of 22132223322 in words is "twenty-two billion, one hundred thirty-two million, two hundred twenty-three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 643 1286 1929 3858 7073 14146 21219 42438 521519 1043038 1564557 3129114 5736709 11473418 17210127 34420254 335336717 670673434 1006010151 2012020302 3688703887 7377407774 11066111661 22132223322