Search a number
-
+
2268504 = 233272643
BaseRepresentation
bin1000101001110101011000
311021020210200
420221311120
51040043004
6120342200
725165500
oct10516530
94236720
102268504
11130a3a7
12914960
13615714
14430a00
152ec239
hex229d58

2268504 has 72 divisors (see below), whose sum is σ = 7158060. Its totient is φ = 647136.

The previous prime is 2268503. The next prime is 2268517. The reversal of 2268504 is 4058622.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×22685042 = 10292220796032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268503) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3207 + ... + 3849.

22268504 is an apocalyptic number.

2268504 is a gapful number since it is divisible by the number (24) 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 2268504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579030).

2268504 is an abundant number, since it is smaller than the sum of its proper divisors (4889556).

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

2268504 is a wasteful number, since it uses less digits than its factorization.

2268504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 655 counting only the distinct ones).

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

The square root of 2268504 is about 1506.1553704715. The cubic root of 2268504 is about 131.3953057406.

It can be divided in two parts, 2268 and 504, that added together give a palindrome (2772).

The spelling of 2268504 in words is "two million, two hundred sixty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 643 882 1176 1286 1764 1929 2572 3528 3858 4501 5144 5787 7716 9002 11574 13503 15432 18004 23148 27006 31507 36008 40509 46296 54012 63014 81018 94521 108024 126028 162036 189042 252056 283563 324072 378084 567126 756168 1134252 2268504