42202200 has 96 divisors (see below), whose sum is σ = 134433360. Its totient is φ = 10944000.

The previous prime is 42202189. The next prime is 42202201. The reversal of 42202200 is 220224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21250 + ... + 23150.

Almost surely, 2^42202200 is an apocalyptic number.

42202200 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 42202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67216680).

42202200 is an abundant number, since it is smaller than the sum of its proper divisors (92231160).

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

42202200 is a wasteful number, since it uses less digits than its factorization.

42202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1948 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42202200 is about 6496.3220363526. The cubic root of 42202200 is about 348.1595912217.

Adding to 42202200 its reverse (220224), we get a palindrome (42422424).

The spelling of 42202200 in words is "forty-two million, two hundred two thousand, two hundred".