220340142 has 64 divisors (see below), whose sum is σ = 536198400. Its totient is φ = 66515040.

The previous prime is 220340123. The next prime is 220340147. The reversal of 220340142 is 241043022.

220340142 is a `hidden beast` number, since 220 + 3 + 401 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220340147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205584 + ... + 206652.

It is an arithmetic number, because the mean of its divisors is an integer number (8378100).

Almost surely, 2^220340142 is an apocalyptic number.

220340142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220340142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268099200).

220340142 is an abundant number, since it is smaller than the sum of its proper divisors (315858258).

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

220340142 is a wasteful number, since it uses less digits than its factorization.

220340142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 220340142 is about 14843.8587301281. The cubic root of 220340142 is about 603.9920305806.

Adding to 220340142 its reverse (241043022), we get a palindrome (461383164).

The spelling of 220340142 in words is "two hundred twenty million, three hundred forty thousand, one hundred forty-two".