252333224 has 144 divisors (see below), whose sum is σ = 602406720. Its totient is φ = 98167680.

The previous prime is 252333199. The next prime is 252333239. The reversal of 252333224 is 422333252.

It is a Cunningham number, because it is equal to 15885²-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 252333193 and 252333202.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5368769 + ... + 5368815.

It is an arithmetic number, because the mean of its divisors is an integer number (4183380).

Almost surely, 2^252333224 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 252333224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301203360).

252333224 is an abundant number, since it is smaller than the sum of its proper divisors (350073496).

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

252333224 is a wasteful number, since it uses less digits than its factorization.

252333224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 92 counting only the distinct ones).

The product of its digits is 8640, while the sum is 26.

The square root of 252333224 is about 15884.9999685238. Note that the first 4 decimals coincide. The cubic root of 252333224 is about 631.9142448940.

Adding to 252333224 its reverse (422333252), we get a palindrome (674666476).

The spelling of 252333224 in words is "two hundred fifty-two million, three hundred thirty-three thousand, two hundred twenty-four".