Search a number
-
+
22772832 = 253237217
BaseRepresentation
bin101011011011…
…1110001100000
31120211222110020
41112313301200
521312212312
62132033440
7364365045
oct126676140
946758406
1022772832
1111944625
127762880
134944564
14304b1cc
151eec78c
hex15b7c60

22772832 has 24 divisors (see below), whose sum is σ = 59778936. Its totient is φ = 7590912.

The previous prime is 22772821. The next prime is 22772833. The reversal of 22772832 is 23827722.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 22772793 and 22772802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22772833) 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, 118513 + ... + 118704.

It is an arithmetic number, because the mean of its divisors is an integer number (2490789).

Almost surely, 222772832 is an apocalyptic number.

It is an amenable number.

22772832 is an abundant number, since it is smaller than the sum of its proper divisors (37006104).

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

22772832 is a wasteful number, since it uses less digits than its factorization.

22772832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237230 (or 237222 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 22772832 is about 4772.0888508074. The cubic root of 22772832 is about 283.4473150016.

The spelling of 22772832 in words is "twenty-two million, seven hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 237217 474434 711651 948868 1423302 1897736 2846604 3795472 5693208 7590944 11386416 22772832