222025100 has 144 divisors (see below), whose sum is σ = 575963136. Its totient is φ = 73344000.

The previous prime is 222025087. The next prime is 222025129. The reversal of 222025100 is 1520222.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579509 + ... + 579891.

It is an arithmetic number, because the mean of its divisors is an integer number (3999744).

Almost surely, 2^222025100 is an apocalyptic number.

222025100 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 222025100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287981568).

222025100 is an abundant number, since it is smaller than the sum of its proper divisors (353938036).

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

222025100 is a wasteful number, since it uses less digits than its factorization.

222025100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

The square root of 222025100 is about 14900.5067027937. The cubic root of 222025100 is about 605.5277138705.

Adding to 222025100 its reverse (1520222), we get a palindrome (223545322).

The spelling of 222025100 in words is "two hundred twenty-two million, twenty-five thousand, one hundred".