22882464 has 144 divisors (see below), whose sum is σ = 73592064. Its totient is φ = 6681600.

The previous prime is 22882463. The next prime is 22882471. The reversal of 22882464 is 46428822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×22882464² = 1047214317422592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (22882463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98092 + ... + 98324.

It is an arithmetic number, because the mean of its divisors is an integer number (511056).

Almost surely, 2^22882464 is an apocalyptic number.

22882464 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 22882464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032).

22882464 is an abundant number, since it is smaller than the sum of its proper divisors (50709600).

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

22882464 is a wasteful number, since it uses less digits than its factorization.

22882464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 22882464 is about 4783.5618528456. The cubic root of 22882464 is about 283.9014403749.

The spelling of 22882464 in words is "twenty-two million, eight hundred eighty-two thousand, four hundred sixty-four".