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22430364 = 22311251677
BaseRepresentation
bin101010110010…
…0001010011100
31120012120200020
41111210022130
521220232424
62120432140
7361440435
oct125441234
946176606
1022430364
11117302a0
127618650
134854708
142d9c48c
151e81079
hex156429c

22430364 has 48 divisors (see below), whose sum is σ = 57407616. Its totient is φ = 6760000.

The previous prime is 22430339. The next prime is 22430381. The reversal of 22430364 is 46303422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32794 + ... + 33470.

It is an arithmetic number, because the mean of its divisors is an integer number (1195992).

Almost surely, 222430364 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 22430364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28703808).

22430364 is an abundant number, since it is smaller than the sum of its proper divisors (34977252).

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

22430364 is a wasteful number, since it uses less digits than its factorization.

22430364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 22430364 is about 4736.0705231236. The cubic root of 22430364 is about 282.0192633086.

Adding to 22430364 its reverse (46303422), we get a palindrome (68733786).

The spelling of 22430364 in words is "twenty-two million, four hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 251 502 677 753 1004 1354 1506 2031 2708 2761 3012 4062 5522 7447 8124 8283 11044 14894 16566 22341 29788 33132 44682 89364 169927 339854 509781 679708 1019562 1869197 2039124 3738394 5607591 7476788 11215182 22430364