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2280284136 = 233413270689
BaseRepresentation
bin1000011111101010…
…0101111111101000
312212220202102210000
42013322211333220
514132223043021
61014134223000
7110336044464
oct20772457750
95786672700
102280284136
11a70185249
125377b4a60
132a4561170
14178bb94a4
15d52c9b26
hex87ea5fe8

2280284136 has 80 divisors (see below), whose sum is σ = 6878232900. Its totient is φ = 701623296.

The previous prime is 2280284117. The next prime is 2280284177. The reversal of 2280284136 is 6314820822.

It can be written as a sum of positive squares in 2 ways, for example, as 2218975236 + 61308900 = 47106^2 + 7830^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2280284136.

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 19 ways as a sum of consecutive naturals, for example, 126921 + ... + 143768.

Almost surely, 22280284136 is an apocalyptic number.

2280284136 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2280284136 is an abundant number, since it is smaller than the sum of its proper divisors (4597948764).

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

2280284136 is a wasteful number, since it uses less digits than its factorization.

2280284136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270720 (or 270707 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2280284136 is about 47752.3207394154. The cubic root of 2280284136 is about 1316.2235448941.

The spelling of 2280284136 in words is "two billion, two hundred eighty million, two hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 270689 541378 812067 1082756 1624134 2165512 2436201 3248268 3518957 4872402 6496536 7037914 7308603 9744804 10556871 14075828 14617206 19489608 21113742 21925809 28151656 29234412 31670613 42227484 43851618 58468824 63341226 84454968 87703236 95011839 126682452 175406472 190023678 253364904 285035517 380047356 570071034 760094712 1140142068 2280284136