2225599200 has 1152 divisors, whose sum is σ = 10124352000. Its totient is φ = 464486400.

The previous prime is 2225599199. The next prime is 2225599231. The reversal of 2225599200 is 29955222.

2225599200 is a `hidden beast` number, since 22 + 25 + 599 + 20 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76744786 + ... + 76744814.

It is an arithmetic number, because the mean of its divisors is an integer number (8788500).

Almost surely, 2^2225599200 is an apocalyptic number.

2225599200 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 2225599200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176000).

2225599200 is an abundant number, since it is smaller than the sum of its proper divisors (7898752800).

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

2225599200 is a wasteful number, since it uses less digits than its factorization.

2225599200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2225599200 is about 47176.2567400170. The cubic root of 2225599200 is about 1305.6165668854.

The spelling of 2225599200 in words is "two billion, two hundred twenty-five million, five hundred ninety-nine thousand, two hundred".