221040000 has 240 divisors, whose sum is σ = 797416620. Its totient is φ = 58752000.

The previous prime is 221039989. The next prime is 221040007. The reversal of 221040000 is 40122.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221040007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 719847 + ... + 720153.

Almost surely, 2^221040000 is an apocalyptic number.

221040000 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 221040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398708310).

221040000 is an abundant number, since it is smaller than the sum of its proper divisors (576376620).

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

221040000 is an equidigital number, since it uses as much as digits as its factorization.

221040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 221040000 is about 14867.4140320366. The cubic root of 221040000 is about 604.6308336819.

Adding to 221040000 its reverse (40122), we get a palindrome (221080122).

The spelling of 221040000 in words is "two hundred twenty-one million, forty thousand".