223211136 has 128 divisors (see below), whose sum is σ = 626688000. Its totient is φ = 70253568.

The previous prime is 223211119. The next prime is 223211141. The reversal of 223211136 is 631112322.

223211136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×223211136³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1121565 + ... + 1121763.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2^223211136 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 223211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313344000).

223211136 is an abundant number, since it is smaller than the sum of its proper divisors (403476864).

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

223211136 is a wasteful number, since it uses less digits than its factorization.

223211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 223211136 is about 14940.2522067066. The cubic root of 223211136 is about 606.6040225673.

Adding to 223211136 its reverse (631112322), we get a palindrome (854323458).

The spelling of 223211136 in words is "two hundred twenty-three million, two hundred eleven thousand, one hundred thirty-six".