333225200 has 240 divisors, whose sum is σ = 1033267200. Its totient is φ = 100224000.

The previous prime is 333225197. The next prime is 333225203. The reversal of 333225200 is 2522333.

It is an interprime number because it is at equal distance from previous prime (333225197) and next prime (333225203).

It is a super-2 number, since 2×333225200² = 222078067830080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333225203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 954626 + ... + 954974.

It is an arithmetic number, because the mean of its divisors is an integer number (4305280).

Almost surely, 2^333225200 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 333225200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516633600).

333225200 is an abundant number, since it is smaller than the sum of its proper divisors (700042000).

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

333225200 is a wasteful number, since it uses less digits than its factorization.

333225200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 333225200 is about 18254.4569900066. The cubic root of 333225200 is about 693.2862907760.

Adding to 333225200 its reverse (2522333), we get a palindrome (335747533).

The spelling of 333225200 in words is "three hundred thirty-three million, two hundred twenty-five thousand, two hundred".