222100020 has 72 divisors (see below), whose sum is σ = 678918240. Its totient is φ = 58768320.

The previous prime is 222099991. The next prime is 222100037. The reversal of 222100020 is 20001222.

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

It is a junction number, because it is equal to n+sod(n) for n = 222099975 and 222100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18871 + ... + 28289.

It is an arithmetic number, because the mean of its divisors is an integer number (9429420).

Almost surely, 2^222100020 is an apocalyptic number.

222100020 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 222100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339459120).

222100020 is an abundant number, since it is smaller than the sum of its proper divisors (456818220).

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

222100020 is a wasteful number, since it uses less digits than its factorization.

222100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9565 (or 9560 counting only the distinct ones).

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

The square root of 222100020 is about 14903.0204992142. The cubic root of 222100020 is about 605.5958158321.

Adding to 222100020 its reverse (20001222), we get a palindrome (242101242).

The spelling of 222100020 in words is "two hundred twenty-two million, one hundred thousand, twenty".