222005100 has 72 divisors (see below), whose sum is σ = 644056000. Its totient is φ = 59042880.

The previous prime is 222005099. The next prime is 222005107. The reversal of 222005100 is 1500222.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (222005107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148959 + ... + 150441.

Almost surely, 2^222005100 is an apocalyptic number.

222005100 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 222005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322028000).

222005100 is an abundant number, since it is smaller than the sum of its proper divisors (422050900).

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

222005100 is a wasteful number, since it uses less digits than its factorization.

222005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 222005100 is about 14899.8355695625. The cubic root of 222005100 is about 605.5095313648.

Adding to 222005100 its reverse (1500222), we get a palindrome (223505322).

The spelling of 222005100 in words is "two hundred twenty-two million, five thousand, one hundred".