22256640 has 352 divisors, whose sum is σ = 94325760. Its totient is φ = 4866048.

The previous prime is 22256639. The next prime is 22256651. The reversal of 22256640 is 4665222.

22256640 = T₁₉₉ + T₂₀₀ + ... + T₅₂₀.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967669 + ... + 967691.

Almost surely, 2^22256640 is an apocalyptic number.

22256640 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 22256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47162880).

22256640 is an abundant number, since it is smaller than the sum of its proper divisors (72069120).

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

22256640 is a wasteful number, since it uses less digits than its factorization.

22256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 22256640 is about 4717.6943521174. The cubic root of 22256640 is about 281.2892922882.

The spelling of 22256640 in words is "twenty-two million, two hundred fifty-six thousand, six hundred forty".