212416224 has 96 divisors (see below), whose sum is σ = 616170240. Its totient is φ = 63731712.

The previous prime is 212416199. The next prime is 212416279. The reversal of 212416224 is 422614212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 212416194 and 212416203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34707 + ... + 40365.

It is an arithmetic number, because the mean of its divisors is an integer number (6418440).

Almost surely, 2^212416224 is an apocalyptic number.

212416224 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 212416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308085120).

212416224 is an abundant number, since it is smaller than the sum of its proper divisors (403754016).

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

212416224 is a wasteful number, since it uses less digits than its factorization.

212416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5712 (or 5704 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 212416224 is about 14574.5059607522. The cubic root of 212416224 is about 596.6631658537.

The spelling of 212416224 in words is "two hundred twelve million, four hundred sixteen thousand, two hundred twenty-four".