222016000 has 80 divisors (see below), whose sum is σ = 553770360. Its totient is φ = 88780800.

The previous prime is 222015919. The next prime is 222016013. The reversal of 222016000 is 610222.

It is a happy number.

222016000 is digitally balanced in base 3, 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 4 ways, for example, as 15116544 + 206899456 = 3888^2 + 14384^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×222016000² = 98582208512000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62266 + ... + 65734.

Almost surely, 2^222016000 is an apocalyptic number.

222016000 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 222016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276885180).

222016000 is an abundant number, since it is smaller than the sum of its proper divisors (331754360).

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

222016000 is an frugal number, since it uses more digits than its factorization.

222016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 222016000 is about 14900.2013409215. The cubic root of 222016000 is about 605.5194409658.

Adding to 222016000 its reverse (610222), we get a palindrome (222626222).

The spelling of 222016000 in words is "two hundred twenty-two million, sixteen thousand".