Search a number
-
+
2280312 = 23361723
BaseRepresentation
bin1000101100101101111000
311021212000000
420230231320
51040432222
6120513000
725245066
oct10545570
94255000
102280312
111318261
1291b760
1361abc8
14435036
153009ac
hex22cb78

2280312 has 112 divisors (see below), whose sum is σ = 7082640. Its totient is φ = 684288.

The previous prime is 2280293. The next prime is 2280319. The reversal of 2280312 is 2130822.

It is a happy number.

2280312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 99133 + ... + 99155.

22280312 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 2280312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3541320).

2280312 is an abundant number, since it is smaller than the sum of its proper divisors (4802328).

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

2280312 is a wasteful number, since it uses less digits than its factorization.

2280312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2280312 is about 1510.0701970438. The cubic root of 2280312 is about 131.6228906083.

The spelling of 2280312 in words is "two million, two hundred eighty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 81 92 102 108 136 138 153 162 184 204 207 216 243 276 306 324 391 408 414 459 486 552 612 621 648 729 782 828 918 972 1173 1224 1242 1377 1458 1564 1656 1836 1863 1944 2346 2484 2754 2916 3128 3519 3672 3726 4131 4692 4968 5508 5589 5832 7038 7452 8262 9384 10557 11016 11178 12393 14076 14904 16524 16767 21114 22356 24786 28152 31671 33048 33534 42228 44712 49572 63342 67068 84456 95013 99144 126684 134136 190026 253368 285039 380052 570078 760104 1140156 2280312