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22212120114 = 2327316904201
BaseRepresentation
bin10100101011111100…
…100000111000110010
32010100000000121120100
4110223330200320302
5330442300320424
614112030453230
71414302622452
oct245374407062
963300017510
1022212120114
119469187668
12437a964216
13212ca90b52
141109dd9d62
158a007ddc9
hex52bf20e32

22212120114 has 24 divisors (see below), whose sum is σ = 48785526972. Its totient is φ = 7302614400.

The previous prime is 22212120101. The next prime is 22212120143. The reversal of 22212120114 is 41102121222.

It can be written as a sum of positive squares in 2 ways, for example, as 19618764489 + 2593355625 = 140067^2 + 50925^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8450787 + ... + 8453414.

Almost surely, 222212120114 is an apocalyptic number.

22212120114 is an abundant number, since it is smaller than the sum of its proper divisors (26573406858).

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

22212120114 is a wasteful number, since it uses less digits than its factorization.

22212120114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16904282 (or 16904279 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 22212120114 its reverse (41102121222), we get a palindrome (63314241336).

The spelling of 22212120114 in words is "twenty-two billion, two hundred twelve million, one hundred twenty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 73 146 219 438 657 1314 16904201 33808402 50712603 101425206 152137809 304275618 1234006673 2468013346 3702020019 7404040038 11106060057 22212120114