224295552 has 192 divisors, whose sum is σ = 736805160. Its totient is φ = 64880640.

The previous prime is 224295527. The next prime is 224295553. The reversal of 224295552 is 255592422.

It is a happy number.

224295552 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 149230656 + 75064896 = 12216^2 + 8664^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (224295553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254152 + ... + 255032.

Almost surely, 2^224295552 is an apocalyptic number.

It is a pronic number, being equal to 14976×14977.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224295552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368402580).

224295552 is an abundant number, since it is smaller than the sum of its proper divisors (512509608).

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

224295552 is a wasteful number, since it uses less digits than its factorization.

224295552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 916 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 224295552 is about 14976.4999916536. The cubic root of 224295552 is about 607.5847811362.

The spelling of 224295552 in words is "two hundred twenty-four million, two hundred ninety-five thousand, five hundred fifty-two".