22984416 has 144 divisors (see below), whose sum is σ = 80537184. Its totient is φ = 6054912.

The previous prime is 22984399. The next prime is 22984427. The reversal of 22984416 is 61448922.

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

It is a super-2 number, since 2×22984416² = 1056566757722112, 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25770 + ... + 26646.

It is an arithmetic number, because the mean of its divisors is an integer number (559286).

Almost surely, 2^22984416 is an apocalyptic number.

22984416 is a gapful number since it is divisible by the number (26) 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 22984416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40268592).

22984416 is an abundant number, since it is smaller than the sum of its proper divisors (57552768).

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

22984416 is a wasteful number, since it uses less digits than its factorization.

22984416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 902 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 22984416 is about 4794.2065036875. The cubic root of 22984416 is about 284.3224532947.

The spelling of 22984416 in words is "twenty-two million, nine hundred eighty-four thousand, four hundred sixteen".