212152224 has 48 divisors (see below), whose sum is σ = 557649792. Its totient is φ = 70622208.

The previous prime is 212152223. The next prime is 212152261. The reversal of 212152224 is 422251212.

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

It is a super-2 number, since 2×212152224² = 90017132296292352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 212152224.

It is not an unprimeable number, because it can be changed into a prime (212152223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 135832 + ... + 137384.

It is an arithmetic number, because the mean of its divisors is an integer number (11617704).

Almost surely, 2^212152224 is an apocalyptic number.

212152224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212152224 is an abundant number, since it is smaller than the sum of its proper divisors (345497568).

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

212152224 is a wasteful number, since it uses less digits than its factorization.

212152224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2981 counting only the distinct ones).

The product of its digits is 640, while the sum is 21.

The square root of 212152224 is about 14565.4462341529. The cubic root of 212152224 is about 596.4158771814.

It can be divided in two parts, 2121 and 52224, that added together give a palindrome (54345).

The spelling of 212152224 in words is "two hundred twelve million, one hundred fifty-two thousand, two hundred twenty-four".