213226112 has 64 divisors (see below), whose sum is σ = 466344000. Its totient is φ = 96307200.

The previous prime is 213226109. The next prime is 213226147. The reversal of 213226112 is 211622312.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279812 + ... + 280572.

It is an arithmetic number, because the mean of its divisors is an integer number (7286625).

Almost surely, 2^213226112 is an apocalyptic number.

213226112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213226112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233172000).

213226112 is an abundant number, since it is smaller than the sum of its proper divisors (253117888).

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

213226112 is a wasteful number, since it uses less digits than its factorization.

213226112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 985 (or 973 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 213226112 is about 14602.2639340617. The cubic root of 213226112 is about 597.4205114754.

Adding to 213226112 its reverse (211622312), we get a palindrome (424848424).

The spelling of 213226112 in words is "two hundred thirteen million, two hundred twenty-six thousand, one hundred twelve".