Search a number
-
+
2280605112 = 2333192337653
BaseRepresentation
bin1000011111101111…
…0100010110111000
312212221100202002000
42013323310112320
514132313330422
61014145141000
7110341552332
oct20773642670
95787322060
102280605112
11a70384415
1253792a760
132a46442a6
14178c60452
15d533ecac
hex87ef45b8

2280605112 has 256 divisors, whose sum is σ = 7157376000. Its totient is φ = 669233664.

The previous prime is 2280605099. The next prime is 2280605113. The reversal of 2280605112 is 2115060822.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280605113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3492178 + ... + 3492830.

It is an arithmetic number, because the mean of its divisors is an integer number (27958500).

Almost surely, 22280605112 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 2280605112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578688000).

2280605112 is an abundant number, since it is smaller than the sum of its proper divisors (4876770888).

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

2280605112 is a wasteful number, since it uses less digits than its factorization.

2280605112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2280605112 is about 47755.6814630469. The cubic root of 2280605112 is about 1316.2852998220.

Adding to 2280605112 its reverse (2115060822), we get a palindrome (4395665934).

The spelling of 2280605112 in words is "two billion, two hundred eighty million, six hundred five thousand, one hundred twelve".