Search a number
-
+
2285712 = 2433111337
BaseRepresentation
bin1000101110000010010000
311022010102000
420232002100
51041120322
6120554000
725266612
oct10560220
94263360
102285712
111321320
12922900
136204c0
14436db2
153023ac
hex22e090

2285712 has 160 divisors (see below), whose sum is σ = 7916160. Its totient is φ = 622080.

The previous prime is 2285711. The next prime is 2285741. The reversal of 2285712 is 2175822.

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

It is not an unprimeable number, because it can be changed into a prime (2285711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61758 + ... + 61794.

It is an arithmetic number, because the mean of its divisors is an integer number (49476).

22285712 is an apocalyptic number.

2285712 is a gapful number since it is divisible by the number (22) 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 2285712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958080).

2285712 is an abundant number, since it is smaller than the sum of its proper divisors (5630448).

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

2285712 is a wasteful number, since it uses less digits than its factorization.

2285712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 66 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 2285712 is about 1511.8571361078. The cubic root of 2285712 is about 131.7267072927.

The spelling of 2285712 in words is "two million, two hundred eighty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 37 39 44 48 52 54 66 72 74 78 88 99 104 108 111 117 132 143 144 148 156 176 198 208 216 222 234 264 286 296 297 312 333 351 396 407 429 432 444 468 481 528 572 592 594 624 666 702 792 814 858 888 936 962 999 1144 1188 1221 1287 1332 1404 1443 1584 1628 1716 1776 1872 1924 1998 2288 2376 2442 2574 2664 2808 2886 3256 3432 3663 3848 3861 3996 4329 4752 4884 5148 5291 5328 5616 5772 6512 6864 7326 7696 7722 7992 8658 9768 10296 10582 10989 11544 12987 14652 15444 15873 15984 17316 19536 20592 21164 21978 23088 25974 29304 30888 31746 34632 42328 43956 47619 51948 58608 61776 63492 69264 84656 87912 95238 103896 126984 142857 175824 190476 207792 253968 285714 380952 571428 761904 1142856 2285712