213622272 has 240 divisors, whose sum is σ = 683674992. Its totient is φ = 66355200.

The previous prime is 213622261. The next prime is 213622313. The reversal of 213622272 is 272226312.

213622272 is a `hidden beast` number, since 2 + 13 + 622 + 27 + 2 = 666.

It is a super-3 number, since 3×213622272³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 2115022 + ... + 2115122.

Almost surely, 2^213622272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213622272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341837496).

213622272 is an abundant number, since it is smaller than the sum of its proper divisors (470052720).

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

213622272 is an equidigital number, since it uses as much as digits as its factorization.

213622272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 213622272 is about 14615.8226590227. The cubic root of 213622272 is about 597.7902718263.

Adding to 213622272 its reverse (272226312), we get a palindrome (485848584).

The spelling of 213622272 in words is "two hundred thirteen million, six hundred twenty-two thousand, two hundred seventy-two".