224329350 has 144 divisors (see below), whose sum is σ = 675813888. Its totient is φ = 49008960.

The previous prime is 224329349. The next prime is 224329351. The reversal of 224329350 is 53923422.

It is an interprime number because it is at equal distance from previous prime (224329349) and next prime (224329351).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224329351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 168387 + ... + 169713.

It is an arithmetic number, because the mean of its divisors is an integer number (4693152).

Almost surely, 2^224329350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224329350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337906944).

224329350 is an abundant number, since it is smaller than the sum of its proper divisors (451484538).

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

224329350 is a wasteful number, since it uses less digits than its factorization.

224329350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 224329350 is about 14977.6283169265. The cubic root of 224329350 is about 607.6152975967.

The spelling of 224329350 in words is "two hundred twenty-four million, three hundred twenty-nine thousand, three hundred fifty".