212368416 has 48 divisors (see below), whose sum is σ = 600352704. Its totient is φ = 65343744.

The previous prime is 212368391. The next prime is 212368433. The reversal of 212368416 is 614863212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×212368416² = 90200688228698112, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 83836 + ... + 86331.

It is an arithmetic number, because the mean of its divisors is an integer number (12507348).

Almost surely, 2^212368416 is an apocalyptic number.

212368416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

212368416 is an abundant number, since it is smaller than the sum of its proper divisors (387984288).

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

212368416 is a wasteful number, since it uses less digits than its factorization.

212368416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170193 (or 170185 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 212368416 is about 14572.8657442522. The cubic root of 212368416 is about 596.6183993219.

The spelling of 212368416 in words is "two hundred twelve million, three hundred sixty-eight thousand, four hundred sixteen".