22482768 has 180 divisors, whose sum is σ = 75203520. Its totient is φ = 5765760.

The previous prime is 22482767. The next prime is 22482773. The reversal of 22482768 is 86728422.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22482767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284553 + ... + 284631.

Almost surely, 2^22482768 is an apocalyptic number.

22482768 is a gapful number since it is divisible by the number (28) 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 22482768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37601760).

22482768 is an abundant number, since it is smaller than the sum of its proper divisors (52720752).

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

22482768 is a wasteful number, since it uses less digits than its factorization.

22482768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 102 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 22482768 is about 4741.5997300489. The cubic root of 22482768 is about 282.2387194449.

The spelling of 22482768 in words is "twenty-two million, four hundred eighty-two thousand, seven hundred sixty-eight".