Search a number
-
+
22312293129 = 347223712
BaseRepresentation
bin10100110001111010…
…101001001100001001
32010120222111221010000
4110301322221030021
5331143421340004
614130005513213
71416630235200
oct246172511411
963528457100
1022312293129
11950a787085
1243a8412809
132147765319
141119434237
158a8c69c39
hex531ea9309

22312293129 has 45 divisors (see below), whose sum is σ = 38788817661. Its totient is φ = 12744504360.

The previous prime is 22312293083. The next prime is 22312293131. The reversal of 22312293129 is 92139221322.

The square root of 22312293129 is 149373.

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

22312293129 is a `hidden beast` number, since 2 + 2 + 312 + 29 + 312 + 9 = 666.

It is not a de Polignac number, because 22312293129 - 221 = 22310195977 is a prime.

It is a super-3 number, since 3×223122931293 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 22312293093 and 22312293102.

It is not an unprimeable number, because it can be changed into a prime (22312293329) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9409314 + ... + 9411684.

Almost surely, 222312293129 is an apocalyptic number.

22312293129 is the 149373-rd square number.

22312293129 is the 74687-th centered octagonal number.

It is an amenable number.

22312293129 is a deficient number, since it is larger than the sum of its proper divisors (16476524532).

22312293129 is an frugal number, since it uses more digits than its factorization.

22312293129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4768 (or 2381 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

Multiplying 22312293129 by its sum of digits (36), we get a square (803242552644 = 8962382).

The spelling of 22312293129 in words is "twenty-two billion, three hundred twelve million, two hundred ninety-three thousand, one hundred twenty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 2371 3969 7113 16597 21339 49791 64017 116179 149373 192051 348537 448119 1045611 1344357 3136833 5621641 9410499 16864923 39351487 50594769 118054461 151784307 275460409 354163383 455352921 826381227 1062490149 2479143681 3187470447 7437431043 22312293129