221340800 has 72 divisors (see below), whose sum is σ = 548867865. Its totient is φ = 88199680.

The previous prime is 221340787. The next prime is 221340803. The reversal of 221340800 is 8043122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 216913984 + 4426816 = 14728^2 + 2104^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10520.

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

It is not an unprimeable number, because it can be changed into a prime (221340803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 841469 + ... + 841731.

Almost surely, 2^221340800 is an apocalyptic number.

221340800 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 221340800

221340800 is an abundant number, since it is smaller than the sum of its proper divisors (327527065).

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

221340800 is an frugal number, since it uses more digits than its factorization.

221340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 221340800 is about 14877.5266761650. The cubic root of 221340800 is about 604.9049779048.

Adding to 221340800 its reverse (8043122), we get a palindrome (229383922).

The spelling of 221340800 in words is "two hundred twenty-one million, three hundred forty thousand, eight hundred".