221453000 has 32 divisors (see below), whose sum is σ = 518202360. Its totient is φ = 88580800.

The previous prime is 221452963. The next prime is 221453003. The reversal of 221453000 is 354122.

It can be written as a sum of positive squares in 4 ways, for example, as 123165604 + 98287396 = 11098^2 + 9914^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 221453000.

It is not an unprimeable number, because it can be changed into a prime (221453003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109727 + ... + 111726.

Almost surely, 2^221453000 is an apocalyptic number.

221453000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221453000 is an abundant number, since it is smaller than the sum of its proper divisors (296749360).

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

221453000 is a wasteful number, since it uses less digits than its factorization.

221453000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221474 (or 221460 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 221453000 is about 14881.2969864861. The cubic root of 221453000 is about 605.0071715563.

The spelling of 221453000 in words is "two hundred twenty-one million, four hundred fifty-three thousand".