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22729482169 = 107214092
BaseRepresentation
bin10101001010110010…
…000101111110111001
32011200001112022212221
4111022302011332321
5333022221412134
614235231404041
71433154260602
oct251262057671
964601468787
1022729482169
119704222409
1244a4083621
1321b3014744
1411589d0da9
158d06c65b4
hex54ac85fb9

22729482169 has 9 divisors (see below), whose sum is σ = 22960187887. Its totient is φ = 22501076224.

The previous prime is 22729482161. The next prime is 22729482253. The reversal of 22729482169 is 96128492722.

The square root of 22729482169 is 150763.

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., 289442169 + 22440040000 = 17013^2 + 149800^2 .

It is not a de Polignac number, because 22729482169 - 23 = 22729482161 is a prime.

It is a super-2 number, since 2×227294821692 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22729482161) 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 8 ways as a sum of consecutive naturals, for example, 16130937 + ... + 16132345.

Almost surely, 222729482169 is an apocalyptic number.

22729482169 is the 150763-rd square number.

22729482169 is the 75382-nd centered octagonal number.

It is an amenable number.

22729482169 is a deficient number, since it is larger than the sum of its proper divisors (230705718).

22729482169 is an frugal number, since it uses more digits than its factorization.

22729482169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 1516 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The spelling of 22729482169 in words is "twenty-two billion, seven hundred twenty-nine million, four hundred eighty-two thousand, one hundred sixty-nine".

Divisors: 1 107 1409 11449 150763 1985281 16131641 212425067 22729482169