224834940 has 360 divisors, whose sum is σ = 821901696. Its totient is φ = 51321600.

The previous prime is 224834921. The next prime is 224834993. The reversal of 224834940 is 49438422.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 224834895 and 224834904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6076602 + ... + 6076638.

Almost surely, 2^224834940 is an apocalyptic number.

224834940 is a gapful number since it is divisible by the number (20) 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 224834940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410950848).

224834940 is an abundant number, since it is smaller than the sum of its proper divisors (597066756).

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

224834940 is a wasteful number, since it uses less digits than its factorization.

224834940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 224834940 is about 14994.4969905629. The cubic root of 224834940 is about 608.0714330602.

The spelling of 224834940 in words is "two hundred twenty-four million, eight hundred thirty-four thousand, nine hundred forty".