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22892109012 = 2232897144853
BaseRepresentation
bin10101010100011110…
…011101110011010100
32012002101112121222100
4111110132131303110
5333340334442022
614303321202100
71440200500413
oct252436356324
965071477870
1022892109012
119787aa9363
12452a630330
13220a914a46
14117244547a
158deaec1ac
hex55479dcd4

22892109012 has 36 divisors (see below), whose sum is σ = 58516354260. Its totient is φ = 7544963712.

The previous prime is 22892109011. The next prime is 22892109077. The reversal of 22892109012 is 21090129822.

It can be written as a sum of positive squares in 2 ways, for example, as 8464736016 + 14427372996 = 92004^2 + 120114^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×228921090122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22892109011) 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, 3569223 + ... + 3575630.

It is an arithmetic number, because the mean of its divisors is an integer number (1625454285).

Almost surely, 222892109012 is an apocalyptic number.

It is an amenable number.

22892109012 is an abundant number, since it is smaller than the sum of its proper divisors (35624245248).

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

22892109012 is a wasteful number, since it uses less digits than its factorization.

22892109012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144952 (or 7144947 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 22892109012 in words is "twenty-two billion, eight hundred ninety-two million, one hundred nine thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 7144853 14289706 21434559 28579412 42869118 64303677 85738236 128607354 257214708 635891917 1271783834 1907675751 2543567668 3815351502 5723027253 7630703004 11446054506 22892109012