2200225366500 has 288 divisors, whose sum is σ = 7468049062656. Its totient is φ = 501900403200.

The previous prime is 2200225366447. The next prime is 2200225366519. The reversal of 2200225366500 is 56635220022.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36940744 + ... + 37000256.

It is an arithmetic number, because the mean of its divisors is an integer number (25930725912).

Almost surely, 2^{2200225366500} is an apocalyptic number.

2200225366500 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 2200225366500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734024531328).

2200225366500 is an abundant number, since it is smaller than the sum of its proper divisors (5267823696156).

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

2200225366500 is a wasteful number, since it uses less digits than its factorization.

2200225366500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60052 (or 60033 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 2200225366500 in words is "two trillion, two hundred billion, two hundred twenty-five million, three hundred sixty-six thousand, five hundred".