213226416 has 60 divisors (see below), whose sum is σ = 642646368. Its totient is φ = 65607552.

The previous prime is 213226397. The next prime is 213226457. The reversal of 213226416 is 614622312.

213226416 is a `hidden beast` number, since 2 + 13 + 2 + 2 + 641 + 6 = 666.

213226416 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-3 number, since 3×213226416³ (a number of 26 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213226416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55080 + ... + 58823.

Almost surely, 2^213226416 is an apocalyptic number.

213226416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

213226416 is an abundant number, since it is smaller than the sum of its proper divisors (429419952).

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

213226416 is a wasteful number, since it uses less digits than its factorization.

213226416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113930 (or 113921 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 213226416 is about 14602.2743434028. The cubic root of 213226416 is about 597.4207953927.

Adding to 213226416 its reverse (614622312), we get a palindrome (827848728).

The spelling of 213226416 in words is "two hundred thirteen million, two hundred twenty-six thousand, four hundred sixteen".