220240000 has 80 divisors (see below), whose sum is σ = 548472870. Its totient is φ = 88064000.

The previous prime is 220239997. The next prime is 220240037. The reversal of 220240000 is 42022.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 28472896 + 191767104 = 5336^2 + 13848^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 78624 + ... + 81376.

Almost surely, 2^220240000 is an apocalyptic number.

220240000 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 220240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274236435).

220240000 is an abundant number, since it is smaller than the sum of its proper divisors (328232870).

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

220240000 is an frugal number, since it uses more digits than its factorization.

220240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 220240000 is about 14840.4851672713. The cubic root of 220240000 is about 603.9005142929.

Adding to 220240000 its reverse (42022), we get a palindrome (220282022).

The spelling of 220240000 in words is "two hundred twenty million, two hundred forty thousand".