Search a number
-
+
22681825 = 521783643
BaseRepresentation
bin101011010000…
…1100011100001
31120200100121121
41112201203201
521301304300
62130052241
7363535525
oct126414341
946610547
1022681825
1111892211
12771a081
134911cca
143025d85
151ed081a
hex15a18e1

22681825 has 24 divisors (see below), whose sum is σ = 30185568. Its totient is φ = 16846080.

The previous prime is 22681807. The next prime is 22681829. The reversal of 22681825 is 52818622.

It is not a de Polignac number, because 22681825 - 25 = 22681793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22681829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34954 + ... + 35596.

It is an arithmetic number, because the mean of its divisors is an integer number (1257732).

Almost surely, 222681825 is an apocalyptic number.

22681825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22681825 is a deficient number, since it is larger than the sum of its proper divisors (7503743).

22681825 is a wasteful number, since it uses less digits than its factorization.

22681825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 748 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 22681825 is about 4762.5439630517. The cubic root of 22681825 is about 283.0692310241.

The spelling of 22681825 in words is "twenty-two million, six hundred eighty-one thousand, eight hundred twenty-five".

Divisors: 1 5 17 25 83 85 415 425 643 1411 2075 3215 7055 10931 16075 35275 53369 54655 266845 273275 907273 1334225 4536365 22681825