220241000 has 128 divisors (see below), whose sum is σ = 598440960. Its totient is φ = 74304000.

The previous prime is 220240997. The next prime is 220241009. The reversal of 220241000 is 142022.

It is not an unprimeable number, because it can be changed into a prime (220241009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 510785 + ... + 511215.

It is an arithmetic number, because the mean of its divisors is an integer number (4675320).

Almost surely, 2^220241000 is an apocalyptic number.

220241000 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 220241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299220480).

220241000 is an abundant number, since it is smaller than the sum of its proper divisors (378199960).

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

220241000 is a wasteful number, since it uses less digits than its factorization.

220241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 220241000 is about 14840.5188588540. The cubic root of 220241000 is about 603.9014282952.

Adding to 220241000 its reverse (142022), we get a palindrome (220383022).

The spelling of 220241000 in words is "two hundred twenty million, two hundred forty-one thousand".