22238720 has 160 divisors (see below), whose sum is σ = 65406528. Its totient is φ = 7077888.

The previous prime is 22238681. The next prime is 22238729. The reversal of 22238720 is 2783222.

22238720 = T₁ + T₂ + ... + T₅₁₀.

22238720 is a nontrivial binomial coefficient, being equal to C(512, 3).

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 22238720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22238729) by changing a digit.

It is the 510-th tetrahedral number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304604 + ... + 304676.

Almost surely, 2^22238720 is an apocalyptic number.

22238720 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 22238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32703264).

22238720 is an abundant number, since it is smaller than the sum of its proper divisors (43167808).

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

22238720 is an equidigital number, since it uses as much as digits as its factorization.

22238720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 22238720 is about 4715.7947368392. The cubic root of 22238720 is about 281.2137783806.

The spelling of 22238720 in words is "twenty-two million, two hundred thirty-eight thousand, seven hundred twenty".