221230224 has 80 divisors (see below), whose sum is σ = 668459200. Its totient is φ = 69859584.

The previous prime is 221230211. The next prime is 221230267. The reversal of 221230224 is 422032122.

221230224 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221230224² = 97885624022180352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221230197 and 221230206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5269 + ... + 21684.

It is an arithmetic number, because the mean of its divisors is an integer number (8355740).

Almost surely, 2^221230224 is an apocalyptic number.

221230224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221230224 is an abundant number, since it is smaller than the sum of its proper divisors (447228976).

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

221230224 is a wasteful number, since it uses less digits than its factorization.

221230224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26989 (or 26977 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 221230224 is about 14873.8100028204. The cubic root of 221230224 is about 604.8042296252.

Adding to 221230224 its reverse (422032122), we get a palindrome (643262346).

The spelling of 221230224 in words is "two hundred twenty-one million, two hundred thirty thousand, two hundred twenty-four".