Search a number
-
+
2265822 = 2321323421
BaseRepresentation
bin1000101001001011011110
311021010010100
420221023132
51040001242
6120321530
725154616
oct10511336
94233110
102265822
111308389
129132a6
13614430
1442da46
152eb54c
hex2292de

2265822 has 48 divisors (see below), whose sum is σ = 5529888. Its totient is φ = 665280.

The previous prime is 2265797. The next prime is 2265841. The reversal of 2265822 is 2285622.

2265822 is a `hidden beast` number, since 2 + 2 + 658 + 2 + 2 = 666.

2265822 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5172 + ... + 5592.

It is an arithmetic number, because the mean of its divisors is an integer number (115206).

22265822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2265822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2764944).

2265822 is an abundant number, since it is smaller than the sum of its proper divisors (3264066).

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

2265822 is a wasteful number, since it uses less digits than its factorization.

2265822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 462 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 2265822 is about 1505.2647607647. The cubic root of 2265822 is about 131.3435034397.

The spelling of 2265822 in words is "two million, two hundred sixty-five thousand, eight hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 421 598 842 897 1263 1794 2526 2691 3789 5382 5473 7578 9683 10946 16419 19366 29049 32838 49257 58098 87147 98514 125879 174294 251758 377637 755274 1132911 2265822