221411340 has 96 divisors (see below), whose sum is σ = 718824960. Its totient is φ = 56472768.

The previous prime is 221411321. The next prime is 221411341. The reversal of 221411340 is 43114122.

221411340 is a `hidden beast` number, since 221 + 411 + 34 + 0 = 666.

221411340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (221411341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3507 + ... + 21333.

It is an arithmetic number, because the mean of its divisors is an integer number (7487760).

Almost surely, 2^221411340 is an apocalyptic number.

221411340 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 221411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359412480).

221411340 is an abundant number, since it is smaller than the sum of its proper divisors (497413620).

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

221411340 is a wasteful number, since it uses less digits than its factorization.

221411340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17868 (or 17860 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 221411340 is about 14879.8971770641. The cubic root of 221411340 is about 604.9692309557.

Adding to 221411340 its reverse (43114122), we get a palindrome (264525462).

The spelling of 221411340 in words is "two hundred twenty-one million, four hundred eleven thousand, three hundred forty".