221055534 has 64 divisors (see below), whose sum is σ = 569172480. Its totient is φ = 62285760.

The previous prime is 221055533. The next prime is 221055577. The reversal of 221055534 is 435550122.

It is a happy number.

221055534 is a `hidden beast` number, since 2 + 2 + 105 + 553 + 4 = 666.

It is a super-2 number, since 2×221055534² = 97731098224050312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 221055498 and 221055507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221055533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23589 + ... + 31599.

It is an arithmetic number, because the mean of its divisors is an integer number (8893320).

Almost surely, 2^221055534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221055534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284586240).

221055534 is an abundant number, since it is smaller than the sum of its proper divisors (348116946).

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

221055534 is a wasteful number, since it uses less digits than its factorization.

221055534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8102 (or 8096 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 221055534 is about 14867.9364405421. The cubic root of 221055534 is about 604.6449972049.

The spelling of 221055534 in words is "two hundred twenty-one million, fifty-five thousand, five hundred thirty-four".