220001730 has 96 divisors (see below), whose sum is σ = 588555072. Its totient is φ = 52318080.

The previous prime is 220001729. The next prime is 220001731. The reversal of 220001730 is 37100022.

It is an interprime number because it is at equal distance from previous prime (220001729) and next prime (220001731).

It is a super-2 number, since 2×220001730² = 96801522405985800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (220001731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374497 + ... + 375083.

It is an arithmetic number, because the mean of its divisors is an integer number (6130782).

Almost surely, 2^220001730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220001730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294277536).

220001730 is an abundant number, since it is smaller than the sum of its proper divisors (368553342).

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

220001730 is a wasteful number, since it uses less digits than its factorization.

220001730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 220001730 is about 14832.4552923648. The cubic root of 220001730 is about 603.6826560518.

Adding to 220001730 its reverse (37100022), we get a palindrome (257101752).

The spelling of 220001730 in words is "two hundred twenty million, one thousand, seven hundred thirty".