221244200240 has 240 divisors, whose sum is σ = 635657922432. Its totient is φ = 71158284288.

The previous prime is 221244200231. The next prime is 221244200249. The reversal of 221244200240 is 42002442122.

It is an interprime number because it is at equal distance from previous prime (221244200231) and next prime (221244200249).

It is a super-2 number, since 2×221244200240² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221244200249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20853017 + ... + 20863623.

Almost surely, 2^221244200240 is an apocalyptic number.

221244200240 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 221244200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317828961216).

221244200240 is an abundant number, since it is smaller than the sum of its proper divisors (414413722192).

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

221244200240 is a wasteful number, since it uses less digits than its factorization.

221244200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10964 (or 10951 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 221244200240 its reverse (42002442122), we get a palindrome (263246642362).

The spelling of 221244200240 in words is "two hundred twenty-one billion, two hundred forty-four million, two hundred thousand, two hundred forty".