220010000 has 150 divisors (see below), whose sum is σ = 621012150. Its totient is φ = 75264000.

The previous prime is 220009963. The next prime is 220010033. The reversal of 220010000 is 10022.

It can be written as a sum of positive squares in 5 ways, for example, as 74373376 + 145636624 = 8624^2 + 12068^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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 29 ways as a sum of consecutive naturals, for example, 489776 + ... + 490224.

It is an arithmetic number, because the mean of its divisors is an integer number (4140081).

Almost surely, 2^220010000 is an apocalyptic number.

220010000 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 220010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310506075).

220010000 is an abundant number, since it is smaller than the sum of its proper divisors (401002150).

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

220010000 is an equidigital number, since it uses as much as digits as its factorization.

220010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 220010000 is about 14832.7340702920. The cubic root of 220010000 is about 603.6902202241.

Adding to 220010000 its reverse (10022), we get a palindrome (220020022).

The spelling of 220010000 in words is "two hundred twenty million, ten thousand".