224986944 has 224 divisors, whose sum is σ = 746475520. Its totient is φ = 58226688.

The previous prime is 224986939. The next prime is 224986963. The reversal of 224986944 is 449689422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 224986893 and 224986902.

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 31 ways as a sum of consecutive naturals, for example, 1380207 + ... + 1380369.

It is an arithmetic number, because the mean of its divisors is an integer number (3332480).

Almost surely, 2^224986944 is an apocalyptic number.

224986944 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 224986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373237760).

224986944 is an abundant number, since it is smaller than the sum of its proper divisors (521488576).

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

224986944 is a wasteful number, since it uses less digits than its factorization.

224986944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 267 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 224986944 is about 14999.5647936865. The cubic root of 224986944 is about 608.2084349995.

The spelling of 224986944 in words is "two hundred twenty-four million, nine hundred eighty-six thousand, nine hundred forty-four".