221136 has 40 divisors (see below), whose sum is σ = 607104. Its totient is φ = 69120.

The previous prime is 221101. The next prime is 221159. The reversal of 221136 is 631122.

It is a super-2 number, since 2×221136² = 97802260992, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 221136.

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, 681 + ... + 951.

2²²¹¹³⁶ 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 221136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303552).

221136 is an abundant number, since it is smaller than the sum of its proper divisors (385968).

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

221136 is a wasteful number, since it uses less digits than its factorization.

221136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 293 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 221136 is about 470.2509968092. The cubic root of 221136 is about 60.4718353526.

Adding to 221136 its reverse (631122), we get a palindrome (852258).

The spelling of 221136 in words is "two hundred twenty-one thousand, one hundred thirty-six".