221455040 has 56 divisors (see below), whose sum is σ = 550285920. Its totient is φ = 84727808.

The previous prime is 221455037. The next prime is 221455043. The reversal of 221455040 is 40554122.

It is a happy number.

221455040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (221455037) and next prime (221455043).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 221454997 and 221455015.

It is not an unprimeable number, because it can be changed into a prime (221455043) 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, 7685 + ... + 22404.

Almost surely, 2^221455040 is an apocalyptic number.

221455040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221455040 is an abundant number, since it is smaller than the sum of its proper divisors (328830880).

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

221455040 is a wasteful number, since it uses less digits than its factorization.

221455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30129 (or 30119 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 221455040 is about 14881.3655287410. The cubic root of 221455040 is about 605.0090293031.

The spelling of 221455040 in words is "two hundred twenty-one million, four hundred fifty-five thousand, forty".