Search a number
-
+
22908930 = 2351126311
BaseRepresentation
bin101011101100…
…1000000000010
31121002220010220
41113121000002
521331041210
62135003510
7365502612
oct127310002
947086126
1022908930
1111a27900
127809596
1349914a5
143084a42
152027c70
hex15d9002

22908930 has 48 divisors (see below), whose sum is σ = 60443712. Its totient is φ = 5552800.

The previous prime is 22908929. The next prime is 22908937. The reversal of 22908930 is 3980922.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22908891 and 22908900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22908937) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475 + ... + 6785.

It is an arithmetic number, because the mean of its divisors is an integer number (1259244).

Almost surely, 222908930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22908930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30221856).

22908930 is an abundant number, since it is smaller than the sum of its proper divisors (37534782).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22908930 is a wasteful number, since it uses less digits than its factorization.

22908930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343 (or 6332 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 22908930 is about 4786.3274020902. The cubic root of 22908930 is about 284.0108522600.

The spelling of 22908930 in words is "twenty-two million, nine hundred eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 165 242 330 363 605 726 1210 1815 3630 6311 12622 18933 31555 37866 63110 69421 94665 138842 189330 208263 347105 416526 694210 763631 1041315 1527262 2082630 2290893 3818155 4581786 7636310 11454465 22908930