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22025231281 = 1927321072
BaseRepresentation
bin10100100000110011…
…100101101110110001
32002211222100200021201
4110200303211232301
5330101424400111
614041313051201
71406543243164
oct244063455661
962758320251
1022025231281
11938273a289
124328256b01
132100147541
1410cd26badb
1588d9646c1
hex520ce5bb1

22025231281 has 27 divisors (see below), whose sum is σ = 23790581451. Its totient is φ = 20387834784.

The previous prime is 22025231269. The next prime is 22025231299. The reversal of 22025231281 is 18213252022.

The square root of 22025231281 is 148409.

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., 12502594225 + 9522637056 = 111815^2 + 97584^2 .

It is not a de Polignac number, because 22025231281 - 227 = 21891013553 is a prime.

It is a super-2 number, since 2×220252312812 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22025231231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 205843230 + ... + 205843336.

Almost surely, 222025231281 is an apocalyptic number.

22025231281 is the 148409-th square number.

22025231281 is the 74205-th centered octagonal number.

It is an amenable number.

22025231281 is a deficient number, since it is larger than the sum of its proper divisors (1765350170).

22025231281 is an frugal number, since it uses more digits than its factorization.

22025231281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 22025231281 in words is "twenty-two billion, twenty-five million, two hundred thirty-one thousand, two hundred eighty-one".

Divisors: 1 19 73 107 361 1387 2033 5329 7811 11449 26353 38627 101251 148409 217531 570203 835777 1923769 2819771 4133089 10833857 15879763 61011721 205843283 301715497 1159222699 22025231281