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2202112112022 = 232144139848761
BaseRepresentation
bin100000000010111000000…
…111000011010110010110
321210112000222102221110200
4200002320013003112112
5242034411200041042
64403345241001330
7315045251053044
oct40027007032626
97715028387420
102202112112022
11779a01973009
122b694aa83246
1312c873322374
1478823291394
153c436aacc4c
hex200b81c3596

2202112112022 has 24 divisors (see below), whose sum is σ = 4771281632520. Its totient is φ = 734031413280.

The previous prime is 2202112112003. The next prime is 2202112112041.

It is a happy number.

2202112112022 is a `hidden beast` number, since 220 + 211 + 211 + 2 + 0 + 22 = 666.

2202112112022 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2202112112003) and next prime (2202112112041).

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

It is a junction number, because it is equal to n+sod(n) for n = 2202112111986 and 2202112112004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2170122 + ... + 3018882.

It is an arithmetic number, because the mean of its divisors is an integer number (198803401355).

Almost surely, 22202112112022 is an apocalyptic number.

2202112112022 is an abundant number, since it is smaller than the sum of its proper divisors (2569169520498).

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

2202112112022 is a wasteful number, since it uses less digits than its factorization.

2202112112022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992908 (or 992905 counting only the distinct ones).

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

The spelling of 2202112112022 in words is "two trillion, two hundred two billion, one hundred twelve million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 144139 288278 432417 848761 864834 1297251 1697522 2546283 2594502 5092566 7638849 15277698 122339561779 244679123558 367018685337 734037370674 1101056056011 2202112112022