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22346961121 = 1494892
BaseRepresentation
bin10100110011111110…
…111001000011100001
32010200101202020122201
4110303332321003201
5331231310223441
614133244533201
71420531015102
oct246376710341
963611666581
1022346961121
119528305711
1243b7b51201
1321519b2c24
14111dc9a3a9
158abd16c31
hex533fb90e1

22346961121 has 3 divisors (see below), whose sum is σ = 22347110611. Its totient is φ = 22346811632.

The previous prime is 22346961047. The next prime is 22346961157. The reversal of 22346961121 is 12116964322.

It is a happy number.

The square root of 22346961121 is 149489.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 12116964322 = 26058482161.

It can be written as a sum of positive squares in only one way, i.e., 3059306721 + 19287654400 = 55311^2 + 138880^2 .

It is a de Polignac number, because none of the positive numbers 2k-22346961121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22346961821) 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 2 ways as a sum of consecutive naturals, for example, 74745 + ... + 224233.

Almost surely, 222346961121 is an apocalyptic number.

22346961121 is the 149489-th square number.

22346961121 is the 74745-th centered octagonal number.

It is an amenable number.

22346961121 is a deficient number, since it is larger than the sum of its proper divisors (149490).

22346961121 is an frugal number, since it uses more digits than its factorization.

22346961121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298978 (or 149489 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The spelling of 22346961121 in words is "twenty-two billion, three hundred forty-six million, nine hundred sixty-one thousand, one hundred twenty-one".

Divisors: 1 149489 22346961121