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22223343321 = 322579608017
BaseRepresentation
bin10100101100100111…
…010100111011011001
32010100210010210220200
4110230213110323121
5331003133441241
614113111212413
71414500205254
oct245447247331
963323123820
1022223343321
119474552843
124382677109
1321321c03ba
14110b6bc09b
158a10494b6
hex52c9d4ed9

22223343321 has 12 divisors (see below), whose sum is σ = 32225292372. Its totient is φ = 14757912576.

The previous prime is 22223343301. The next prime is 22223343397. The reversal of 22223343321 is 12334332222.

22223343321 is a `hidden beast` number, since 2 + 2 + 2 + 2 + 334 + 3 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 21949904025 + 273439296 = 148155^2 + 16536^2 .

It is not a de Polignac number, because 22223343321 - 26 = 22223343257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22223343301) 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 11 ways as a sum of consecutive naturals, for example, 4801696 + ... + 4806321.

It is an arithmetic number, because the mean of its divisors is an integer number (2685441031).

Almost surely, 222223343321 is an apocalyptic number.

It is an amenable number.

22223343321 is a deficient number, since it is larger than the sum of its proper divisors (10001949051).

22223343321 is a wasteful number, since it uses less digits than its factorization.

22223343321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9608280 (or 9608277 counting only the distinct ones).

The product of its digits is 10368, while the sum is 27.

Adding to 22223343321 its reverse (12334332222), we get a palindrome (34557675543).

The spelling of 22223343321 in words is "twenty-two billion, two hundred twenty-three million, three hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 3 9 257 771 2313 9608017 28824051 86472153 2469260369 7407781107 22223343321