2225335200 has 432 divisors, whose sum is σ = 8145728640. Its totient is φ = 527155200.

The previous prime is 2225335187. The next prime is 2225335201. The reversal of 2225335200 is 25335222.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225335201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22941552 + ... + 22941648.

Almost surely, 2^2225335200 is an apocalyptic number.

2225335200 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 2225335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072864320).

2225335200 is an abundant number, since it is smaller than the sum of its proper divisors (5920393440).

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

2225335200 is a wasteful number, since it uses less digits than its factorization.

2225335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2225335200 is about 47173.4586393663. The cubic root of 2225335200 is about 1305.5649408778.

The spelling of 2225335200 in words is "two billion, two hundred twenty-five million, three hundred thirty-five thousand, two hundred".