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22237669129 = 132114712
BaseRepresentation
bin10100101101011101…
…111110011100001001
32010101210002122020011
4110231131332130021
5331020320403004
614114342231521
71415033032414
oct245535763411
963353078204
1022237669129
119481647a55
1243874255a1
132135167c00
14110d56ab7b
158a2429004
hex52d77e709

22237669129 has 9 divisors (see below), whose sum is σ = 24081942279. Its totient is φ = 20525289720.

The previous prime is 22237669123. The next prime is 22237669151. The reversal of 22237669129 is 92196673222.

The square root of 22237669129 is 149123.

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

It can be written as a sum of positive squares in only one way, i.e., 3289596025 + 18948073104 = 57355^2 + 137652^2 .

It is a de Polignac number, because none of the positive numbers 2k-22237669129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22237669123) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1932864 + ... + 1944334.

Almost surely, 222237669129 is an apocalyptic number.

22237669129 is the 149123-rd square number.

22237669129 is the 74562-nd centered octagonal number.

It is an amenable number.

22237669129 is a deficient number, since it is larger than the sum of its proper divisors (1844273150).

22237669129 is an frugal number, since it uses more digits than its factorization.

22237669129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22968 (or 11484 counting only the distinct ones).

The product of its digits is 979776, while the sum is 49.

Multiplying 22237669129 by its sum of digits (49), we get a square (1089645787321 = 10438612).

The spelling of 22237669129 in words is "twenty-two billion, two hundred thirty-seven million, six hundred sixty-nine thousand, one hundred twenty-nine".

Divisors: 1 13 169 11471 149123 1938599 131583841 1710589933 22237669129