22529064 has 64 divisors (see below), whose sum is σ = 58890240. Its totient is φ = 7174080.

The previous prime is 22529057. The next prime is 22529099. The reversal of 22529064 is 46092522.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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, 79467 + ... + 79749.

It is an arithmetic number, because the mean of its divisors is an integer number (920160).

Almost surely, 2^22529064 is an apocalyptic number.

22529064 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 22529064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29445120).

22529064 is an abundant number, since it is smaller than the sum of its proper divisors (36361176).

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

22529064 is a wasteful number, since it uses less digits than its factorization.

22529064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 22529064 is about 4746.4791161449. The cubic root of 22529064 is about 282.4323131228.

The spelling of 22529064 in words is "twenty-two million, five hundred twenty-nine thousand, sixty-four".