222210100 has 108 divisors (see below), whose sum is σ = 567737100. Its totient is φ = 75264000.

The previous prime is 222210097. The next prime is 222210101. The reversal of 222210100 is 1012222.

222210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9400356 + 212809744 = 3066^2 + 14588^2 .

It is a super-3 number, since 3×222210100³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222210101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 494676 + ... + 495124.

It is an arithmetic number, because the mean of its divisors is an integer number (5256825).

Almost surely, 2^222210100 is an apocalyptic number.

222210100 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 222210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283868550).

222210100 is an abundant number, since it is smaller than the sum of its proper divisors (345527000).

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

222210100 is a wasteful number, since it uses less digits than its factorization.

222210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 222210100 is about 14906.7132527596. The cubic root of 222210100 is about 605.6958503073.

Adding to 222210100 its reverse (1012222), we get a palindrome (223222322).

It can be divided in two parts, 22 and 2210100, that added together give a palindrome (2210122).

The spelling of 222210100 in words is "two hundred twenty-two million, two hundred ten thousand, one hundred".