224912052 has 144 divisors (see below), whose sum is σ = 623750400. Its totient is φ = 70761600.

The previous prime is 224912041. The next prime is 224912111. The reversal of 224912052 is 250219422.

It is a happy number.

It is a super-2 number, since 2×224912052² = 101170862269701408, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2226802 + ... + 2226902.

It is an arithmetic number, because the mean of its divisors is an integer number (4331600).

Almost surely, 2^224912052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224912052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311875200).

224912052 is an abundant number, since it is smaller than the sum of its proper divisors (398838348).

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

224912052 is a wasteful number, since it uses less digits than its factorization.

224912052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 224912052 is about 14997.0681134680. The cubic root of 224912052 is about 608.1409421925.

The spelling of 224912052 in words is "two hundred twenty-four million, nine hundred twelve thousand, fifty-two".