212968224 has 192 divisors, whose sum is σ = 741242880. Its totient is φ = 58164480.

The previous prime is 212968219. The next prime is 212968237. The reversal of 212968224 is 422869212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138339 + ... + 139869.

It is an arithmetic number, because the mean of its divisors is an integer number (3860640).

Almost surely, 2^212968224 is an apocalyptic number.

212968224 is a gapful number since it is divisible by the number (24) 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 212968224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370621440).

212968224 is an abundant number, since it is smaller than the sum of its proper divisors (528274656).

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

212968224 is a wasteful number, since it uses less digits than its factorization.

212968224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1566 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 212968224 is about 14593.4308509000. The cubic root of 212968224 is about 597.1795626630.

The spelling of 212968224 in words is "two hundred twelve million, nine hundred sixty-eight thousand, two hundred twenty-four".