224412984 has 64 divisors (see below), whose sum is σ = 625178400. Its totient is φ = 74587392.

The previous prime is 224412943. The next prime is 224412997. The reversal of 224412984 is 489214422.

It is a super-2 number, since 2×224412984² = 100722374775568512, 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84444 + ... + 87060.

Almost surely, 2^224412984 is an apocalyptic number.

224412984 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 224412984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312589200).

224412984 is an abundant number, since it is smaller than the sum of its proper divisors (400765416).

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

224412984 is a wasteful number, since it uses less digits than its factorization.

224412984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3029 (or 3019 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 224412984 is about 14980.4200208138. The cubic root of 224412984 is about 607.6907981704.

It can be divided in two parts, 22441 and 2984, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 224412984 in words is "two hundred twenty-four million, four hundred twelve thousand, nine hundred eighty-four".