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2287068 = 2237191433
BaseRepresentation
bin1000101110010111011100
311022012021020
420232113130
51041141233
6121004140
725303560
oct10562734
94265236
102287068
111322343
12923650
13620cc4
144376a0
153029b3
hex22e5dc

2287068 has 48 divisors (see below), whose sum is σ = 6424320. Its totient is φ = 618624.

The previous prime is 2287063. The next prime is 2287069. The reversal of 2287068 is 8607822.

2287068 is digitally balanced in base 8, 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 (33) coincides with the sum of the digits of its distinct prime factors.

2287068 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880 + ... + 2312.

It is an arithmetic number, because the mean of its divisors is an integer number (133840).

22287068 is an apocalyptic number.

2287068 is a gapful number since it is divisible by the number (28) 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 2287068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212160).

2287068 is an abundant number, since it is smaller than the sum of its proper divisors (4137252).

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

2287068 is a wasteful number, since it uses less digits than its factorization.

2287068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1464 counting only the distinct ones).

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

The square root of 2287068 is about 1512.3055246874. The cubic root of 2287068 is about 131.7527511257.

The spelling of 2287068 in words is "two million, two hundred eighty-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1433 1596 2866 4299 5732 8598 10031 17196 20062 27227 30093 40124 54454 60186 81681 108908 120372 163362 190589 326724 381178 571767 762356 1143534 2287068