222002001000 has 384 divisors, whose sum is σ = 823357211040. Its totient is φ = 53614080000.

The previous prime is 222002000951. The next prime is 222002001007. The reversal of 222002001000 is 100200222.

It can be written as a sum of positive squares in 16 ways, for example, as 44486402724 + 177515598276 = 210918^2 + 421326^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (222002001007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6183100 + ... + 6218900.

Almost surely, 2^222002001000 is an apocalyptic number.

222002001000 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 222002001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411678605520).

222002001000 is an abundant number, since it is smaller than the sum of its proper divisors (601355210040).

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

222002001000 is a wasteful number, since it uses less digits than its factorization.

222002001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35894 (or 35877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 222002001000 its reverse (100200222), we get a palindrome (222102201222).

The spelling of 222002001000 in words is "two hundred twenty-two billion, two million, one thousand".