Search a number
-
+
220680278280 = 233457111761853
BaseRepresentation
bin1100110110000110010…
…0011101000100001000
3210002121120212200010000
43031201210131010020
512103423122401110
6245213520123000
721641443262340
oct3154144350410
9702546780100
10220680278280
118565429a380
1236929466460
1317a6b91c627
14a976889d20
155b18cb91c0
hex336191d108

220680278280 has 1280 divisors, whose sum is σ = 996371228160. Its totient is φ = 42400972800.

The previous prime is 220680278237. The next prime is 220680278293. The reversal of 220680278280 is 82872086022.

It is a happy number.

220680278280 is a `hidden beast` number, since 2 + 20 + 6 + 80 + 278 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 258710334 + ... + 258711186.

It is an arithmetic number, because the mean of its divisors is an integer number (778415022).

Almost surely, 2220680278280 is an apocalyptic number.

220680278280 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 220680278280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498185614080).

220680278280 is an abundant number, since it is smaller than the sum of its proper divisors (775690949880).

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

220680278280 is a wasteful number, since it uses less digits than its factorization.

220680278280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 220680278280 in words is "two hundred twenty billion, six hundred eighty million, two hundred seventy-eight thousand, two hundred eighty".