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22431164 = 2272361571
BaseRepresentation
bin101010110010…
…0010110111100
31120012121202212
41111210112330
521220244124
62120435552
7361442660
oct125442674
946177685
1022431164
1111730958
127618bb8
134854ba2
142d9c8a0
151e8140e
hex15645bc

22431164 has 48 divisors (see below), whose sum is σ = 47663616. Its totient is φ = 9028800.

The previous prime is 22431163. The next prime is 22431169. The reversal of 22431164 is 46113422.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22431163) 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 15 ways as a sum of consecutive naturals, for example, 38999 + ... + 39569.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 222431164 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 22431164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23831808).

22431164 is an abundant number, since it is smaller than the sum of its proper divisors (25232452).

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

22431164 is a wasteful number, since it uses less digits than its factorization.

22431164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 664 counting only the distinct ones).

The product of its digits is 1152, while the sum is 23.

The square root of 22431164 is about 4736.1549805723. The cubic root of 22431164 is about 282.0226160961.

Adding to 22431164 its reverse (46113422), we get a palindrome (68544586).

The spelling of 22431164 in words is "twenty-two million, four hundred thirty-one thousand, one hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 46 61 92 122 161 244 322 427 571 644 854 1142 1403 1708 2284 2806 3997 5612 7994 9821 13133 15988 19642 26266 34831 39284 52532 69662 91931 139324 183862 243817 367724 487634 801113 975268 1602226 3204452 5607791 11215582 22431164