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22002212220020 = 2257611445611841
BaseRepresentation
bin1010000000010110010100…
…00010110010110001110100
32212220101112222222202222122
411000023022002302301310
510340441012312020040
6114443402102415112
74430415221053004
oct500131202626164
985811488882878
1022002212220020
1170130a422452a
122574214431498
13c37a51c67926
14560cac84a004
152824dc1961b5
hex1402ca0b2c74

22002212220020 has 24 divisors (see below), whose sum is σ = 46265361391368. Its totient is φ = 8789319987200.

The previous prime is 22002212219969. The next prime is 22002212220029. The reversal of 22002212220020 is 2002221220022.

It can be written as a sum of positive squares in 4 ways, for example, as 402435446884 + 21599776773136 = 634378^2 + 4647556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22002212220029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 722790701 + ... + 722821140.

It is an arithmetic number, because the mean of its divisors is an integer number (1927723391307).

Almost surely, 222002212220020 is an apocalyptic number.

22002212220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002212220020 is an abundant number, since it is smaller than the sum of its proper divisors (24263149171348).

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

22002212220020 is a wasteful number, since it uses less digits than its factorization.

22002212220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445612611 (or 1445612609 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 22002212220020 its reverse (2002221220022), we get a palindrome (24004433440042).

The spelling of 22002212220020 in words is "twenty-two trillion, two billion, two hundred twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 761 1522 3044 3805 7610 15220 1445611841 2891223682 5782447364 7228059205 14456118410 28912236820 1100110611001 2200221222002 4400442444004 5500553055005 11001106110010 22002212220020