Search a number
-
+
220055087232 = 27341722712
BaseRepresentation
bin1100110011110001001…
…1100010100010000000
3210001000000110200020000
43030330103202202000
512101133100242412
6245031504120000
721620112244041
oct3147423424200
9701000420200
10220055087232
11853633a6062
1236794006000
131799c2438b6
14a9178268c8
155acde724dc
hex333c4e2880

220055087232 has 360 divisors, whose sum is σ = 698245286805. Its totient is φ = 68782141440.

The previous prime is 220055087159. The next prime is 220055087297. The reversal of 220055087232 is 232780550022.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220055087232 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 550 + 8 + 72 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 201399898176 + 18655189056 = 448776^2 + 136584^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=331704.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 812011257 + ... + 812011527.

Almost surely, 2220055087232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220055087232

220055087232 is an abundant number, since it is smaller than the sum of its proper divisors (478190199573).

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

220055087232 is an frugal number, since it uses more digits than its factorization.

220055087232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 220055087232 in words is "two hundred twenty billion, fifty-five million, eighty-seven thousand, two hundred thirty-two".