Search a number
-
+
2280173280 = 25357111719191
BaseRepresentation
bin1000011111101000…
…1010111011100000
312212220112210201020
42013322022323200
514132211021110
61014132005440
7110335103340
oct20772127340
95786483636
102280173280
11a70109a30
12537760880
132a4522878
14178b8ad20
15d52a6d70
hex87e8aee0

2280173280 has 768 divisors, whose sum is σ = 10032906240. Its totient is φ = 420249600.

The previous prime is 2280173257. The next prime is 2280173281. The reversal of 2280173280 is 823710822.

2280173280 is digitally balanced in base 2, because in such base 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 (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280173281) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11937985 + ... + 11938175.

It is an arithmetic number, because the mean of its divisors is an integer number (13063680).

Almost surely, 22280173280 is an apocalyptic number.

2280173280 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 2280173280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5016453120).

2280173280 is an abundant number, since it is smaller than the sum of its proper divisors (7752732960).

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

2280173280 is a wasteful number, since it uses less digits than its factorization.

2280173280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 2280173280 is about 47751.1599859103. The cubic root of 2280173280 is about 1316.2022151484.

The spelling of 2280173280 in words is "two billion, two hundred eighty million, one hundred seventy-three thousand, two hundred eighty".