221362740 has 96 divisors (see below), whose sum is σ = 697536000. Its totient is φ = 58271616.

The previous prime is 221362727. The next prime is 221362769. The reversal of 221362740 is 47263122.

221362740 is a `hidden beast` number, since 22 + 13 + 627 + 4 + 0 = 666.

221362740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40066 + ... + 45254.

It is an arithmetic number, because the mean of its divisors is an integer number (7266000).

Almost surely, 2^221362740 is an apocalyptic number.

221362740 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 221362740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348768000).

221362740 is an abundant number, since it is smaller than the sum of its proper divisors (476173260).

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

221362740 is a wasteful number, since it uses less digits than its factorization.

221362740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5286 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 221362740 is about 14878.2640116379. The cubic root of 221362740 is about 604.9249639426.

The spelling of 221362740 in words is "two hundred twenty-one million, three hundred sixty-two thousand, seven hundred forty".