Search a number
-
+
2263260 = 223567563
BaseRepresentation
bin1000101000100011011100
311020222121110
420220203130
51034411020
6120302020
725144266
oct10504334
94228543
102263260
11130646a
12911910
1361320c
1442cb36
152ea8e0
hex2288dc

2263260 has 48 divisors (see below), whose sum is σ = 6443136. Its totient is φ = 593472.

The previous prime is 2263249. The next prime is 2263273. The reversal of 2263260 is 623622.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3739 + ... + 4301.

It is an arithmetic number, because the mean of its divisors is an integer number (134232).

22263260 is an apocalyptic number.

2263260 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 2263260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221568).

2263260 is an abundant number, since it is smaller than the sum of its proper divisors (4179876).

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

2263260 is a wasteful number, since it uses less digits than its factorization.

2263260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2263260 is about 1504.4135069854. The cubic root of 2263260 is about 131.2939807257.

Adding to 2263260 its reverse (623622), we get a palindrome (2886882).

It can be divided in two parts, 226 and 3260, that added together give a triangular number (3486 = T83).

The spelling of 2263260 in words is "two million, two hundred sixty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 563 670 804 1005 1126 1340 1689 2010 2252 2815 3378 4020 5630 6756 8445 11260 16890 33780 37721 75442 113163 150884 188605 226326 377210 452652 565815 754420 1131630 2263260