42232200 has 96 divisors (see below), whose sum is σ = 133250400. Its totient is φ = 11061760.

The previous prime is 42232189. The next prime is 42232213. The reversal of 42232200 is 223224.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42232200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34804 + ... + 35996.

It is an arithmetic number, because the mean of its divisors is an integer number (1388025).

Almost surely, 2^42232200 is an apocalyptic number.

42232200 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 42232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66625200).

42232200 is an abundant number, since it is smaller than the sum of its proper divisors (91018200).

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

42232200 is a wasteful number, since it uses less digits than its factorization.

42232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42232200 is about 6498.6306249855. The cubic root of 42232200 is about 348.2420696531.

Adding to 42232200 its reverse (223224), we get a palindrome (42455424).

The spelling of 42232200 in words is "forty-two million, two hundred thirty-two thousand, two hundred".