Search a number
-
+
22445664 = 2532291021
BaseRepresentation
bin101010110011…
…1111001100000
31120020100122220
41111213321200
521221230124
62121031040
7361533153
oct125477140
946210586
1022445664
111174083a
127625480
13485b677
142da3c9a
151e85879
hex1567e60

22445664 has 48 divisors (see below), whose sum is σ = 59235120. Its totient is φ = 7441920.

The previous prime is 22445663. The next prime is 22445693. The reversal of 22445664 is 46654422.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22445663) 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 7 ways as a sum of consecutive naturals, for example, 21474 + ... + 22494.

It is an arithmetic number, because the mean of its divisors is an integer number (1234065).

Almost surely, 222445664 is an apocalyptic number.

22445664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22445664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29617560).

22445664 is an abundant number, since it is smaller than the sum of its proper divisors (36789456).

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

22445664 is a wasteful number, since it uses less digits than its factorization.

22445664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1255 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 22445664 is about 4737.6855108798. The cubic root of 22445664 is about 282.0833715567.

The spelling of 22445664 in words is "twenty-two million, four hundred forty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 229 458 687 916 1021 1374 1832 2042 2748 3063 3664 4084 5496 6126 7328 8168 10992 12252 16336 21984 24504 32672 49008 98016 233809 467618 701427 935236 1402854 1870472 2805708 3740944 5611416 7481888 11222832 22445664