221340000 has 480 divisors, whose sum is σ = 906909696. Its totient is φ = 46080000.

The previous prime is 221339999. The next prime is 221340019. The reversal of 221340000 is 43122.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 7139985 + ... + 7140015.

Almost surely, 2^221340000 is an apocalyptic number.

221340000 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 221340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453454848).

221340000 is an abundant number, since it is smaller than the sum of its proper divisors (685569696).

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

221340000 is a wasteful number, since it uses less digits than its factorization.

221340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 221340000 is about 14877.4997899513. The cubic root of 221340000 is about 604.9042491274.

Adding to 221340000 its reverse (43122), we get a palindrome (221383122).

The spelling of 221340000 in words is "two hundred twenty-one million, three hundred forty thousand".