221100040 has 64 divisors (see below), whose sum is σ = 571253760. Its totient is φ = 75444480.

The previous prime is 221100037. The next prime is 221100041. The reversal of 221100040 is 40001122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (221100041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60670 + ... + 64210.

It is an arithmetic number, because the mean of its divisors is an integer number (8925840).

Almost surely, 2^221100040 is an apocalyptic number.

221100040 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 221100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285626880).

221100040 is an abundant number, since it is smaller than the sum of its proper divisors (350153720).

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

221100040 is a wasteful number, since it uses less digits than its factorization.

221100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 221100040 is about 14869.4330759448. The cubic root of 221100040 is about 604.6855730185.

Adding to 221100040 its reverse (40001122), we get a palindrome (261101162).

The spelling of 221100040 in words is "two hundred twenty-one million, one hundred thousand, forty".