211142304 has 36 divisors (see below), whose sum is σ = 600436746. Its totient is φ = 70380672.

The previous prime is 211142299. The next prime is 211142311. The reversal of 211142304 is 403241112.

It can be written as a sum of positive squares in only one way, i.e., 165173904 + 45968400 = 12852^2 + 6780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 366279 + ... + 366854.

Almost surely, 2^211142304 is an apocalyptic number.

211142304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211142304 is an abundant number, since it is smaller than the sum of its proper divisors (389294442).

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

211142304 is a wasteful number, since it uses less digits than its factorization.

211142304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733149 (or 733138 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211142304 is about 14530.7365264119. The cubic root of 211142304 is about 595.4679876283.

Adding to 211142304 its reverse (403241112), we get a palindrome (614383416).

The spelling of 211142304 in words is "two hundred eleven million, one hundred forty-two thousand, three hundred four".