222232104000 has 336 divisors, whose sum is σ = 822381459120. Its totient is φ = 57217843200.

The previous prime is 222232103987. The next prime is 222232104011. The reversal of 222232104000 is 401232222.

222232104000 is a `hidden beast` number, since 2 + 22 + 232 + 10 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 48583213056 + 173648890944 = 220416^2 + 416712^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2034784 + ... + 2141216.

Almost surely, 2^222232104000 is an apocalyptic number.

222232104000 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 222232104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411190729560).

222232104000 is an abundant number, since it is smaller than the sum of its proper divisors (600149355120).

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

222232104000 is a wasteful number, since it uses less digits than its factorization.

222232104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106495 (or 106472 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 222232104000 its reverse (401232222), we get a palindrome (222633336222).

The spelling of 222232104000 in words is "two hundred twenty-two billion, two hundred thirty-two million, one hundred four thousand".