222401000 has 64 divisors (see below), whose sum is σ = 538434000. Its totient is φ = 85881600.

The previous prime is 222400993. The next prime is 222401009. The reversal of 222401000 is 104222.

It can be written as a sum of positive squares in 8 ways, for example, as 45670564 + 176730436 = 6758^2 + 13294^2 .

It is not an unprimeable number, because it can be changed into a prime (222401009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25166 + ... + 32834.

Almost surely, 2^222401000 is an apocalyptic number.

222401000 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 222401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269217000).

222401000 is an abundant number, since it is smaller than the sum of its proper divisors (316033000).

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

222401000 is a wasteful number, since it uses less digits than its factorization.

222401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 222401000 is about 14913.1150334194. The cubic root of 222401000 is about 605.8692511292.

Adding to 222401000 its reverse (104222), we get a palindrome (222505222).

The spelling of 222401000 in words is "two hundred twenty-two million, four hundred one thousand".