22386144 has 192 divisors, whose sum is σ = 71850240. Its totient is φ = 6021120.

The previous prime is 22386139. The next prime is 22386157. The reversal of 22386144 is 44168322.

It is a super-2 number, since 2×22386144² = 1002278886377472, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 520587 + ... + 520629.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 2^22386144 is an apocalyptic number.

22386144 is a gapful number since it is divisible by the number (24) 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 22386144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35925120).

22386144 is an abundant number, since it is smaller than the sum of its proper divisors (49464096).

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

22386144 is a wasteful number, since it uses less digits than its factorization.

22386144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 22386144 is about 4731.3997928731. The cubic root of 22386144 is about 281.8338138587.

The spelling of 22386144 in words is "twenty-two million, three hundred eighty-six thousand, one hundred forty-four".