221272512 has 112 divisors (see below), whose sum is σ = 618865920. Its totient is φ = 69634048.

The previous prime is 221272511. The next prime is 221272547. The reversal of 221272512 is 215272122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221272511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 392743 + ... + 393305.

Almost surely, 2^221272512 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 221272512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309432960).

221272512 is an abundant number, since it is smaller than the sum of its proper divisors (397593408).

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

221272512 is a wasteful number, since it uses less digits than its factorization.

221272512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 680 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 221272512 is about 14875.2314939970. The cubic root of 221272512 is about 604.8427631363.

The spelling of 221272512 in words is "two hundred twenty-one million, two hundred seventy-two thousand, five hundred twelve".