249148224 has 140 divisors (see below), whose sum is σ = 795580324. Its totient is φ = 76640256.

The previous prime is 249148223. The next prime is 249148247. The reversal of 249148224 is 422841942.

249148224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 29160000 + 219988224 = 5400^2 + 14832^2 .

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 not an unprimeable number, because it can be changed into a prime (249148223) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65544 + ... + 69240.

Almost surely, 2^249148224 is an apocalyptic number.

249148224 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 249148224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397790162).

249148224 is an abundant number, since it is smaller than the sum of its proper divisors (546432100).

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

249148224 is a wasteful number, since it uses less digits than its factorization.

249148224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3715 counting only the distinct ones).

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

The square root of 249148224 is about 15784.4297964798. The cubic root of 249148224 is about 629.2442638637.

The spelling of 249148224 in words is "two hundred forty-nine million, one hundred forty-eight thousand, two hundred twenty-four".