Search a number
-
+
22968513 = 32172361107
BaseRepresentation
bin101011110011…
…1100011000001
31121012220212200
41113213203001
521334443023
62140143413
7366141411
oct127474301
947186780
1022968513
1111a68647
127837b69
1349b2649
14309c641
15203a743
hex15e78c1

22968513 has 48 divisors (see below), whose sum is σ = 37604736. Its totient is φ = 13432320.

The previous prime is 22968509. The next prime is 22968521. The reversal of 22968513 is 31586922.

It is not a de Polignac number, because 22968513 - 22 = 22968509 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22968503) 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 47 ways as a sum of consecutive naturals, for example, 214606 + ... + 214712.

It is an arithmetic number, because the mean of its divisors is an integer number (783432).

Almost surely, 222968513 is an apocalyptic number.

22968513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22968513 is a deficient number, since it is larger than the sum of its proper divisors (14636223).

22968513 is a wasteful number, since it uses less digits than its factorization.

22968513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 211 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 22968513 is about 4792.5476523453. The cubic root of 22968513 is about 284.2568635895.

The spelling of 22968513 in words is "twenty-two million, nine hundred sixty-eight thousand, five hundred thirteen".

Divisors: 1 3 9 17 23 51 61 69 107 153 183 207 321 391 549 963 1037 1173 1403 1819 2461 3111 3519 4209 5457 6527 7383 9333 12627 16371 19581 22149 23851 41837 58743 71553 110959 125511 150121 214659 332877 376533 450363 998631 1351089 2552057 7656171 22968513