42215200 has 36 divisors (see below), whose sum is σ = 103059810. Its totient is φ = 16885760.

The previous prime is 42215191. The next prime is 42215219. The reversal of 42215200 is 251224.

It can be written as a sum of positive squares in 3 ways, for example, as 26501904 + 15713296 = 5148^2 + 3964^2 .

It is a super-2 number, since 2×42215200² = 3564246222080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25585 + ... + 27184.

Almost surely, 2^42215200 is an apocalyptic number.

42215200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42215200 is an abundant number, since it is smaller than the sum of its proper divisors (60844610).

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

42215200 is a wasteful number, since it uses less digits than its factorization.

42215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52789 (or 52776 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 42215200 is about 6497.3225254715. The cubic root of 42215200 is about 348.1953366727.

Adding to 42215200 its reverse (251224), we get a palindrome (42466424).

The spelling of 42215200 in words is "forty-two million, two hundred fifteen thousand, two hundred".