221271740 has 48 divisors (see below), whose sum is σ = 482993280. Its totient is φ = 85048320.

The previous prime is 221271703. The next prime is 221271749. The reversal of 221271740 is 47172122.

221271740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×221271740² = 97922365845255200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221271749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138989 + ... + 140571.

It is an arithmetic number, because the mean of its divisors is an integer number (10062360).

Almost surely, 2^221271740 is an apocalyptic number.

221271740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221271740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

221271740 is an abundant number, since it is smaller than the sum of its proper divisors (261721540).

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

221271740 is a wasteful number, since it uses less digits than its factorization.

221271740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 221271740 is about 14875.2055447984. The cubic root of 221271740 is about 604.8420597214.

The spelling of 221271740 in words is "two hundred twenty-one million, two hundred seventy-one thousand, seven hundred forty".