221740400 has 60 divisors (see below), whose sum is σ = 608843472. Its totient is φ = 76024320.

The previous prime is 221740397. The next prime is 221740403. The reversal of 221740400 is 4047122.

221740400 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 (221740397) and next prime (221740403).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221740403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36797 + ... + 42396.

Almost surely, 2^221740400 is an apocalyptic number.

221740400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221740400 is an abundant number, since it is smaller than the sum of its proper divisors (387103072).

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

221740400 is a wasteful number, since it uses less digits than its factorization.

221740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79218 (or 79207 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 221740400 is about 14890.9502718933. The cubic root of 221740400 is about 605.2687829677.

Adding to 221740400 its reverse (4047122), we get a palindrome (225787522).

The spelling of 221740400 in words is "two hundred twenty-one million, seven hundred forty thousand, four hundred".