22251840 has 112 divisors (see below), whose sum is σ = 76126848. Its totient is φ = 5474304.

The previous prime is 22251829. The next prime is 22251841. The reversal of 22251840 is 4815222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 22251840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22251841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11589 + ... + 13371.

It is an arithmetic number, because the mean of its divisors is an integer number (679704).

Almost surely, 2^22251840 is an apocalyptic number.

22251840 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 22251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38063424).

22251840 is an abundant number, since it is smaller than the sum of its proper divisors (53875008).

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

22251840 is a wasteful number, since it uses less digits than its factorization.

22251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 22251840 is about 4717.1856016061. The cubic root of 22251840 is about 281.2690693243.

The spelling of 22251840 in words is "twenty-two million, two hundred fifty-one thousand, eight hundred forty".