249202224 has 80 divisors (see below), whose sum is σ = 719894400. Its totient is φ = 82534464.

The previous prime is 249202139. The next prime is 249202241. The reversal of 249202224 is 422202942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68647 + ... + 72185.

It is an arithmetic number, because the mean of its divisors is an integer number (8998680).

Almost surely, 2^249202224 is an apocalyptic number.

249202224 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 249202224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359947200).

249202224 is an abundant number, since it is smaller than the sum of its proper divisors (470692176).

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

249202224 is a wasteful number, since it uses less digits than its factorization.

249202224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 249202224 is about 15786.1402502322. The cubic root of 249202224 is about 629.2897210553.

The spelling of 249202224 in words is "two hundred forty-nine million, two hundred two thousand, two hundred twenty-four".