2227198064400 has 225 divisors, whose sum is σ = 7994199329413. Its totient is φ = 593847849600.

The previous prime is 2227198064387. The next prime is 2227198064411. The reversal of 2227198064400 is 44608917222.

The square root of 2227198064400 is 1492380.

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

2227198064400 is a `hidden beast` number, since 2 + 227 + 19 + 8 + 0 + 6 + 4 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 801791303184 + 1425406761216 = 895428^2 + 1193904^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-2 number, since 2×2227198064400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 268624255 + ... + 268632545.

Almost surely, 2^{2227198064400} is an apocalyptic number.

2227198064400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2227198064400 is the 1492380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2227198064400

2227198064400 is an abundant number, since it is smaller than the sum of its proper divisors (5767001265013).

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

2227198064400 is an frugal number, since it uses more digits than its factorization.

2227198064400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16612 (or 8301 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2227198064400 in words is "two trillion, two hundred twenty-seven billion, one hundred ninety-eight million, sixty-four thousand, four hundred".