42205200 has 60 divisors (see below), whose sum is σ = 135201168. Its totient is φ = 11254400.

The previous prime is 42205199. The next prime is 42205217. The reversal of 42205200 is 250224.

It is a tau number, because it is divible by the number of its divisors (60).

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 42205200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16386 + ... + 18785.

Almost surely, 2^42205200 is an apocalyptic number.

42205200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42205200 is an abundant number, since it is smaller than the sum of its proper divisors (92995968).

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

42205200 is a wasteful number, since it uses less digits than its factorization.

42205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35192 (or 35181 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42205200 is about 6496.5529321325. The cubic root of 42205200 is about 348.1678408234.

Adding to 42205200 its reverse (250224), we get a palindrome (42455424).

The spelling of 42205200 in words is "forty-two million, two hundred five thousand, two hundred".