221783040 has 132 divisors (see below), whose sum is σ = 768632124. Its totient is φ = 59129856.

The previous prime is 221783011. The next prime is 221783041. The reversal of 221783040 is 40387122.

It can be written as a sum of positive squares in 2 ways, for example, as 124010496 + 97772544 = 11136^2 + 9888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 221782995 and 221783013.

It is not an unprimeable number, because it can be changed into a prime (221783041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43674 + ... + 48486.

Almost surely, 2^221783040 is an apocalyptic number.

221783040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221783040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384316062).

221783040 is an abundant number, since it is smaller than the sum of its proper divisors (546849084).

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

221783040 is a wasteful number, since it uses less digits than its factorization.

221783040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4844 (or 4823 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 221783040 is about 14892.3819451423. The cubic root of 221783040 is about 605.3075775923.

The spelling of 221783040 in words is "two hundred twenty-one million, seven hundred eighty-three thousand, forty".