Search a number
-
+
2282826 = 2371337113
BaseRepresentation
bin1000101101010101001010
311021222110010
420231111022
51041022301
6120532350
725255320
oct10552512
94258403
102282826
11131a137
129210b6
1361c0b0
14435d10
153015d6
hex22d54a

2282826 has 64 divisors (see below), whose sum is σ = 5822208. Its totient is φ = 580608.

The previous prime is 2282807. The next prime is 2282849. The reversal of 2282826 is 6282822.

It is a super-2 number, since 2×22828262 = 10422589092552, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2282793 and 2282802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20146 + ... + 20258.

It is an arithmetic number, because the mean of its divisors is an integer number (90972).

22282826 is an apocalyptic number.

2282826 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2282826, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911104).

2282826 is an abundant number, since it is smaller than the sum of its proper divisors (3539382).

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

2282826 is a wasteful number, since it uses less digits than its factorization.

2282826 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its digits is 6144, while the sum is 30.

The square root of 2282826 is about 1510.9023793747. The cubic root of 2282826 is about 131.6712434094.

The spelling of 2282826 in words is "two million, two hundred eighty-two thousand, eight hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 113 182 222 226 259 273 339 481 518 546 678 777 791 962 1443 1469 1554 1582 2373 2886 2938 3367 4181 4407 4746 6734 8362 8814 10101 10283 12543 20202 20566 25086 29267 30849 54353 58534 61698 87801 108706 163059 175602 326118 380471 760942 1141413 2282826