Search a number
-
+
2293844 = 227176179
BaseRepresentation
bin1000110000000001010100
311022112120012
420300001110
51041400334
6121055352
725332410
oct10600124
94275505
102293844
111327443
12927558
13624107
14439d40
153049ce
hex230054

2293844 has 48 divisors (see below), whose sum is σ = 4999680. Its totient is φ = 898560.

The previous prime is 2293831. The next prime is 2293847. The reversal of 2293844 is 4483922.

2293844 = T225 + T226 + ... + T292.

It is a d-powerful number, because it can be written as 217 + 221 + 9 + 3 + 8 + 43 + 48 .

It is a self number, because there is not a number n which added to its sum of digits gives 2293844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2293847) 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, 28997 + ... + 29075.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

22293844 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 2293844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2499840).

2293844 is an abundant number, since it is smaller than the sum of its proper divisors (2705836).

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

2293844 is a wasteful number, since it uses less digits than its factorization.

2293844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 166 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 2293844 is about 1514.5441558436. The cubic root of 2293844 is about 131.8827394513.

The spelling of 2293844 in words is "two million, two hundred ninety-three thousand, eight hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 61 68 79 119 122 158 238 244 316 427 476 553 854 1037 1106 1343 1708 2074 2212 2686 4148 4819 5372 7259 9401 9638 14518 18802 19276 29036 33733 37604 67466 81923 134932 163846 327692 573461 1146922 2293844