221406144 has 28 divisors (see below), whose sum is σ = 585804264. Its totient is φ = 73801984.

The previous prime is 221406121. The next prime is 221406151. The reversal of 221406144 is 441604122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 576387 + ... + 576770.

Almost surely, 2^221406144 is an apocalyptic number.

221406144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

221406144 is an abundant number, since it is smaller than the sum of its proper divisors (364398120).

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

221406144 is a wasteful number, since it uses less digits than its factorization.

221406144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153172 (or 1153162 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 221406144 is about 14879.7225780590. The cubic root of 221406144 is about 604.9644985201.

The spelling of 221406144 in words is "two hundred twenty-one million, four hundred six thousand, one hundred forty-four".