221412200 has 96 divisors (see below), whose sum is σ = 529887960. Its totient is φ = 86016000.

The previous prime is 221412197. The next prime is 221412223. The reversal of 221412200 is 2214122.

It can be written as a sum of positive squares in 12 ways, for example, as 8076964 + 213335236 = 2842^2 + 14606^2 .

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, 1959344 + ... + 1959456.

Almost surely, 2^221412200 is an apocalyptic number.

221412200 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 221412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264943980).

221412200 is an abundant number, since it is smaller than the sum of its proper divisors (308475760).

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

221412200 is a wasteful number, since it uses less digits than its factorization.

221412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 221412200 is about 14879.9260750852. The cubic root of 221412200 is about 604.9700142231.

Adding to 221412200 its reverse (2214122), we get a palindrome (223626322).

Multiplying 221412200 by its reverse (2214122), we get a square (490233623088400 = 22141220²).

221412200 divided by its reverse (2214122) gives a square (100 = 10²).

The spelling of 221412200 in words is "two hundred twenty-one million, four hundred twelve thousand, two hundred".