2200327222500 has 1215 divisors, whose sum is σ = 8175446308029. Its totient is φ = 498405600000.

The previous prime is 2200327222481. The next prime is 2200327222559. The reversal of 2200327222500 is 52227230022.

The square root of 2200327222500 is 1483350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1645683596964 + 554643625536 = 1282842^2 + 744744^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 70978297485 + ... + 70978297515.

Almost surely, 2^{2200327222500} is an apocalyptic number.

2200327222500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2200327222500 is the 1483350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200327222500

2200327222500 is an abundant number, since it is smaller than the sum of its proper divisors (5975119085529).

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

2200327222500 is a wasteful number, since it uses less digits than its factorization.

2200327222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 2200327222500 in words is "two trillion, two hundred billion, three hundred twenty-seven million, two hundred twenty-two thousand, five hundred".