212431000 has 64 divisors (see below), whose sum is σ = 503568000. Its totient is φ = 83865600.

The previous prime is 212430991. The next prime is 212431007. The reversal of 212431000 is 134212.

It is a super-2 number, since 2×212431000² = 90253859522000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212431007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77656 + ... + 80344.

It is an arithmetic number, because the mean of its divisors is an integer number (7868250).

Almost surely, 2^212431000 is an apocalyptic number.

212431000 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 212431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251784000).

212431000 is an abundant number, since it is smaller than the sum of its proper divisors (291137000).

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

212431000 is a wasteful number, since it uses less digits than its factorization.

212431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2775 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 212431000 is about 14575.0128644883. The cubic root of 212431000 is about 596.6770004695.

Adding to 212431000 its reverse (134212), we get a palindrome (212565212).

It can be divided in two parts, 2124 and 31000, that added together give a square (33124 = 182²).

The spelling of 212431000 in words is "two hundred twelve million, four hundred thirty-one thousand".