22262880 has 48 divisors (see below), whose sum is σ = 70129584. Its totient is φ = 5936640.

The previous prime is 22262879. The next prime is 22262887. The reversal of 22262880 is 8826222.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22262887) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 22711 + ... + 23670.

It is an arithmetic number, because the mean of its divisors is an integer number (1461033).

Almost surely, 2^22262880 is an apocalyptic number.

22262880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22262880 is an abundant number, since it is smaller than the sum of its proper divisors (47866704).

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

22262880 is a wasteful number, since it uses less digits than its factorization.

22262880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46399 (or 46391 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 22262880 is about 4718.3556457732. The cubic root of 22262880 is about 281.3155777948.

The spelling of 22262880 in words is "twenty-two million, two hundred sixty-two thousand, eight hundred eighty".