Search a number
-
+
2244352 = 2811797
BaseRepresentation
bin1000100011111100000000
311020000200011
420203330000
51033304402
6120034304
725035205
oct10437400
94200604
102244352
1112a3240
12902994
13607726
14425cac
152e4ed7
hex223f00

2244352 has 36 divisors (see below), whose sum is σ = 4893336. Its totient is φ = 1018880.

The previous prime is 2244331. The next prime is 2244353. The reversal of 2244352 is 2534422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 217 + 220 + 4 + 44 + 35 + 56 + 220 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2244353) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2418 + ... + 3214.

It is an arithmetic number, because the mean of its divisors is an integer number (135926).

22244352 is an apocalyptic number.

2244352 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 2244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2446668).

2244352 is an abundant number, since it is smaller than the sum of its proper divisors (2648984).

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

2244352 is an equidigital number, since it uses as much as digits as its factorization.

2244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 810 counting only the distinct ones).

The product of its digits is 1920, while the sum is 22.

The square root of 2244352 is about 1498.1161503702. The cubic root of 2244352 is about 130.9273337839.

Adding to 2244352 its reverse (2534422), we get a palindrome (4778774).

The spelling of 2244352 in words is "two million, two hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 797 1408 1594 2816 3188 6376 8767 12752 17534 25504 35068 51008 70136 102016 140272 204032 280544 561088 1122176 2244352