Search a number
-
+
22313832 = 233929743
BaseRepresentation
bin101010100011…
…1101101101000
31112222122211020
41111013231220
521203020312
62114132440
7360443622
oct125075550
945878736
1022313832
1111660792
127581120
134813668
142d6bc12
151e5b78c
hex1547b68

22313832 has 16 divisors (see below), whose sum is σ = 55784640. Its totient is φ = 7437936.

The previous prime is 22313827. The next prime is 22313839. The reversal of 22313832 is 23831322.

It is a super-3 number, since 3×223138323 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 929743 = 22313832 / (2 + 2 + 3 + 1 + 3 + 8 + 3 + 2).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (22313839) 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 3 ways as a sum of consecutive naturals, for example, 464848 + ... + 464895.

It is an arithmetic number, because the mean of its divisors is an integer number (3486540).

Almost surely, 222313832 is an apocalyptic number.

It is an amenable number.

22313832 is an abundant number, since it is smaller than the sum of its proper divisors (33470808).

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

22313832 is a wasteful number, since it uses less digits than its factorization.

22313832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929752 (or 929748 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 22313832 is about 4723.7518986501. The cubic root of 22313832 is about 281.5300254962.

The spelling of 22313832 in words is "twenty-two million, three hundred thirteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 929743 1859486 2789229 3718972 5578458 7437944 11156916 22313832