211138224 has 60 divisors (see below), whose sum is σ = 599550168. Its totient is φ = 63979520.

The previous prime is 211138201. The next prime is 211138231. The reversal of 211138224 is 422831112.

211138224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 211138194 and 211138203.

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, 12369 + ... + 23984.

Almost surely, 2^211138224 is an apocalyptic number.

211138224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211138224 is an abundant number, since it is smaller than the sum of its proper divisors (388411944).

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

211138224 is a wasteful number, since it uses less digits than its factorization.

211138224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36386 (or 36369 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 211138224 is about 14530.5961336760. The cubic root of 211138224 is about 595.4641521029.

Adding to 211138224 its reverse (422831112), we get a palindrome (633969336).

The spelling of 211138224 in words is "two hundred eleven million, one hundred thirty-eight thousand, two hundred twenty-four".