212433100 has 72 divisors (see below), whose sum is σ = 505311408. Its totient is φ = 76876800.

The previous prime is 212433077. The next prime is 212433103. The reversal of 212433100 is 1334212.

It is a happy number.

212433100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212433100² = 90255643951220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212433103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343992 + ... + 344608.

It is an arithmetic number, because the mean of its divisors is an integer number (7018214).

Almost surely, 2^212433100 is an apocalyptic number.

212433100 is a gapful number since it is divisible by the number (20) 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 212433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252655704).

212433100 is an abundant number, since it is smaller than the sum of its proper divisors (292878308).

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

212433100 is a wasteful number, since it uses less digits than its factorization.

212433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 212433100 is about 14575.0849054131. The cubic root of 212433100 is about 596.6789666257.

Adding to 212433100 its reverse (1334212), we get a palindrome (213767312).

The spelling of 212433100 in words is "two hundred twelve million, four hundred thirty-three thousand, one hundred".