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22282428529 = 113213212
BaseRepresentation
bin10100110000001000…
…101110000001110001
32010111220022122120201
4110300020232001301
5331113300203104
614123021435201
71416115342324
oct246010560161
963456278521
1022282428529
1194a4939399
12439a40bb01
132141509b6a
14111549c7bb
158a631b0a4
hex53022e071

22282428529 has 9 divisors (see below), whose sum is σ = 22498394529. Its totient is φ = 22068520320.

The previous prime is 22282428523. The next prime is 22282428533. The reversal of 22282428529 is 92582428222.

The square root of 22282428529 is 149273.

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

It can be written as a sum of positive squares in 4 ways, for example, as 451775025 + 21830653504 = 21255^2 + 147752^2 .

It is not a de Polignac number, because 22282428529 - 23 = 22282428521 is a prime.

It is a super-2 number, since 2×222824285292 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22282428521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16867189 + ... + 16868509.

Almost surely, 222282428529 is an apocalyptic number.

22282428529 is the 149273-rd square number.

22282428529 is the 74637-th centered octagonal number.

It is an amenable number.

22282428529 is a deficient number, since it is larger than the sum of its proper divisors (215966000).

22282428529 is an frugal number, since it uses more digits than its factorization.

22282428529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 1434 counting only the distinct ones).

The product of its digits is 737280, while the sum is 46.

The spelling of 22282428529 in words is "twenty-two billion, two hundred eighty-two million, four hundred twenty-eight thousand, five hundred twenty-nine".

Divisors: 1 113 1321 12769 149273 1745041 16867849 197189633 22282428529