220552014240 has 192 divisors, whose sum is σ = 772504992000. Its totient is φ = 58770220032.

The previous prime is 220552014233. The next prime is 220552014313. The reversal of 220552014240 is 42410255022.

220552014240 is digitally balanced in base 2 and base 3, because in such bases 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6025434 + ... + 6061926.

It is an arithmetic number, because the mean of its divisors is an integer number (4023463500).

Almost surely, 2^220552014240 is an apocalyptic number.

220552014240 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 220552014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386252496000).

220552014240 is an abundant number, since it is smaller than the sum of its proper divisors (551952977760).

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

220552014240 is a wasteful number, since it uses less digits than its factorization.

220552014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37916 (or 37902 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 220552014240 its reverse (42410255022), we get a palindrome (262962269262).

The spelling of 220552014240 in words is "two hundred twenty billion, five hundred fifty-two million, fourteen thousand, two hundred forty".