42302200 has 48 divisors (see below), whose sum is σ = 98855280. Its totient is φ = 16834560.

The previous prime is 42302179. The next prime is 42302207. The reversal of 42302200 is 220324.

It is a super-2 number, since 2×42302200² = 3578952249680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42302207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50989 + ... + 51811.

It is an arithmetic number, because the mean of its divisors is an integer number (2059485).

Almost surely, 2^42302200 is an apocalyptic number.

42302200 is a gapful number since it is divisible by the number (40) 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 42302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49427640).

42302200 is an abundant number, since it is smaller than the sum of its proper divisors (56553080).

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

42302200 is a wasteful number, since it uses less digits than its factorization.

42302200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 42302200 is about 6504.0141451261. The cubic root of 42302200 is about 348.4343675441.

Adding to 42302200 its reverse (220324), we get a palindrome (42522524).

The spelling of 42302200 in words is "forty-two million, three hundred two thousand, two hundred".