221233000 has 32 divisors (see below), whose sum is σ = 517687560. Its totient is φ = 88492800.

The previous prime is 221232983. The next prime is 221233003. The reversal of 221233000 is 332122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128187684 + 93045316 = 11322^2 + 9646^2 .

It is not an unprimeable number, because it can be changed into a prime (221233003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 109617 + ... + 111616.

Almost surely, 2^221233000 is an apocalyptic number.

221233000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221233000 is an abundant number, since it is smaller than the sum of its proper divisors (296454560).

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

221233000 is a wasteful number, since it uses less digits than its factorization.

221233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221254 (or 221240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 221233000 is about 14873.9033209175. The cubic root of 221233000 is about 604.8067593120.

Adding to 221233000 its reverse (332122), we get a palindrome (221565122).

The spelling of 221233000 in words is "two hundred twenty-one million, two hundred thirty-three thousand".