221513228640 has 1296 divisors, whose sum is σ = 910119070224. Its totient is φ = 48990289920.

The previous prime is 221513228611. The next prime is 221513228641. The reversal of 221513228640 is 46822315122.

221513228640 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 1 + 3 + 2 + 2 + 8 + 640 = 666.

It is a super-2 number, since 2×221513228640² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 221513228595 and 221513228604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221513228641) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2668834039 + ... + 2668834121.

It is an arithmetic number, because the mean of its divisors is an integer number (702252369).

Almost surely, 2^221513228640 is an apocalyptic number.

221513228640 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 221513228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455059535112).

221513228640 is an abundant number, since it is smaller than the sum of its proper divisors (688605841584).

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

221513228640 is a wasteful number, since it uses less digits than its factorization.

221513228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 221513228640 in words is "two hundred twenty-one billion, five hundred thirteen million, two hundred twenty-eight thousand, six hundred forty".