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22930024 = 2313972273
BaseRepresentation
bin101011101111…
…0001001101000
31121010222002011
41113132021220
521332230044
62135245304
7365621245
oct127361150
947128064
1022930024
1111a41737
127819834
13499ac80
14308c5cc
15202e134
hex15de268

22930024 has 32 divisors (see below), whose sum is σ = 46798920. Its totient is φ = 10469376.

The previous prime is 22930009. The next prime is 22930043. The reversal of 22930024 is 42003922.

It can be written as a sum of positive squares in 4 ways, for example, as 19624900 + 3305124 = 4430^2 + 1818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22929977 and 22930004.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8952 + ... + 11224.

Almost surely, 222930024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22930024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23399460).

22930024 is an abundant number, since it is smaller than the sum of its proper divisors (23868896).

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

22930024 is a wasteful number, since it uses less digits than its factorization.

22930024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 22930024 is about 4788.5304635138. The cubic root of 22930024 is about 284.0979956737.

Adding to 22930024 its reverse (42003922), we get a palindrome (64933946).

The spelling of 22930024 in words is "twenty-two million, nine hundred thirty thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 97 104 194 388 776 1261 2273 2522 4546 5044 9092 10088 18184 29549 59098 118196 220481 236392 440962 881924 1763848 2866253 5732506 11465012 22930024