221317000 has 32 divisors (see below), whose sum is σ = 517884120. Its totient is φ = 88526400.

The previous prime is 221316983. The next prime is 221317003. The reversal of 221317000 is 713122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35976004 + 185340996 = 5998^2 + 13614^2 .

It is not an unprimeable number, because it can be changed into a prime (221317003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109659 + ... + 111658.

Almost surely, 2^221317000 is an apocalyptic number.

221317000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221317000 is an abundant number, since it is smaller than the sum of its proper divisors (296567120).

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

221317000 is a wasteful number, since it uses less digits than its factorization.

221317000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221338 (or 221324 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 221317000 is about 14876.7267905275. The cubic root of 221317000 is about 604.8832960241.

The spelling of 221317000 in words is "two hundred twenty-one million, three hundred seventeen thousand".