222712000 has 224 divisors, whose sum is σ = 652369536. Its totient is φ = 73728000.

The previous prime is 222711997. The next prime is 222712001. The reversal of 222712000 is 217222.

222712000 = T₄₅₉₅ + T₄₅₉₆ + ... + T₄₆₁₅.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (222712001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2295952 + ... + 2296048.

It is an arithmetic number, because the mean of its divisors is an integer number (2912364).

Almost surely, 2^222712000 is an apocalyptic number.

222712000 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 222712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326184768).

222712000 is an abundant number, since it is smaller than the sum of its proper divisors (429657536).

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

222712000 is an equidigital number, since it uses as much as digits as its factorization.

222712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 222712000 is about 14923.5384544015. The cubic root of 222712000 is about 606.1515303988.

Adding to 222712000 its reverse (217222), we get a palindrome (222929222).

The spelling of 222712000 in words is "two hundred twenty-two million, seven hundred twelve thousand".