42203200 has 84 divisors (see below), whose sum is σ = 111889540. Its totient is φ = 15575040.

The previous prime is 42203191. The next prime is 42203219. The reversal of 42203200 is 230224.

It can be written as a sum of positive squares in 6 ways, for example, as 5184 + 42198016 = 72^2 + 6496^2 .

It is a super-2 number, since 2×42203200² = 3562220180480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

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, 19786 + ... + 21814.

Almost surely, 2^42203200 is an apocalyptic number.

42203200 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 42203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55944770).

42203200 is an abundant number, since it is smaller than the sum of its proper divisors (69686340).

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

42203200 is a wasteful number, since it uses less digits than its factorization.

42203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2064 (or 2049 counting only the distinct ones).

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

The square root of 42203200 is about 6496.3990025244. The cubic root of 42203200 is about 348.1623411323.

Adding to 42203200 its reverse (230224), we get a palindrome (42433424).

The spelling of 42203200 in words is "forty-two million, two hundred three thousand, two hundred".