42233100 has 324 divisors, whose sum is σ = 162973944. Its totient is φ = 8386560.

The previous prime is 42233099. The next prime is 42233101. The reversal of 42233100 is 133224.

It is an interprime number because it is at equal distance from previous prime (42233099) and next prime (42233101).

It is a super-2 number, since 2×42233100² = 3567269471220000, which contains 22 as substring.

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 42233100.

It is not an unprimeable number, because it can be changed into a prime (42233101) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2484292 + ... + 2484308.

It is an arithmetic number, because the mean of its divisors is an integer number (503006).

Almost surely, 2^42233100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42233100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81486972).

42233100 is an abundant number, since it is smaller than the sum of its proper divisors (120740844).

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

42233100 is a wasteful number, since it uses less digits than its factorization.

42233100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 42233100 is about 6498.6998699740. The cubic root of 42233100 is about 348.2445434025.

Adding to 42233100 its reverse (133224), we get a palindrome (42366324).

The spelling of 42233100 in words is "forty-two million, two hundred thirty-three thousand, one hundred".