221953536 has 180 divisors, whose sum is σ = 745914312. Its totient is φ = 63350784.

The previous prime is 221953531. The next prime is 221953549. The reversal of 221953536 is 635359122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221953536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221953531) 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 17 ways as a sum of consecutive naturals, for example, 225301 + ... + 226283.

Almost surely, 2^221953536 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 221953536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372957156).

221953536 is an abundant number, since it is smaller than the sum of its proper divisors (523960776).

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

221953536 is an equidigital number, since it uses as much as digits as its factorization.

221953536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 995 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 221953536 is about 14898.1051144097. The cubic root of 221953536 is about 605.4626481910.

It can be divided in two parts, 2219 and 53536, that added together give a palindrome (55755).

The spelling of 221953536 in words is "two hundred twenty-one million, nine hundred fifty-three thousand, five hundred thirty-six".