22290480 has 120 divisors (see below), whose sum is σ = 75963888. Its totient is φ = 5856768.

The previous prime is 22290461. The next prime is 22290481. The reversal of 22290480 is 8409222.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (22290481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59574 + ... + 59946.

Almost surely, 2^22290480 is an apocalyptic number.

22290480 is a gapful number since it is divisible by the number (20) 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 22290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37981944).

22290480 is an abundant number, since it is smaller than the sum of its proper divisors (53673408).

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

22290480 is a wasteful number, since it uses less digits than its factorization.

22290480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22290480 is about 4721.2794875966. The cubic root of 22290480 is about 281.4317817420.

The spelling of 22290480 in words is "twenty-two million, two hundred ninety thousand, four hundred eighty".