Search a number
-
+
2233040 = 245103271
BaseRepresentation
bin1000100001001011010000
311012110011012
420201023100
51032424130
6115510052
724660215
oct10411320
94173135
102233040
111295797
128b8328
13602534
14421b0c
152e1995
hex2212d0

2233040 has 40 divisors (see below), whose sum is σ = 5261568. Its totient is φ = 881280.

The previous prime is 2233039. The next prime is 2233057. The reversal of 2233040 is 403322.

2233040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8105 + ... + 8375.

22233040 is an apocalyptic number.

2233040 is a gapful number since it is divisible by the number (20) 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 2233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630784).

2233040 is an abundant number, since it is smaller than the sum of its proper divisors (3028528).

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

2233040 is a wasteful number, since it uses less digits than its factorization.

2233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2233040 is about 1494.3359729325. The cubic root of 2233040 is about 130.7069962050.

Adding to 2233040 its reverse (403322), we get a palindrome (2636362).

The spelling of 2233040 in words is "two million, two hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 271 412 515 542 824 1030 1084 1355 1648 2060 2168 2710 4120 4336 5420 8240 10840 21680 27913 55826 111652 139565 223304 279130 446608 558260 1116520 2233040