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2263160 = 235291951
BaseRepresentation
bin1000101000100001111000
311020222110202
420220201320
51034410120
6120301332
725144064
oct10504170
94228422
102263160
111306389
12911848
13613163
1442caa4
152ea875
hex228878

2263160 has 32 divisors (see below), whose sum is σ = 5270400. Its totient is φ = 873600.

The previous prime is 2263141. The next prime is 2263169. The reversal of 2263160 is 613622.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185 + ... + 2135.

It is an arithmetic number, because the mean of its divisors is an integer number (164700).

22263160 is an apocalyptic number.

2263160 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 2263160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635200).

2263160 is an abundant number, since it is smaller than the sum of its proper divisors (3007240).

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

2263160 is a wasteful number, since it uses less digits than its factorization.

2263160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1991 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2263160 is about 1504.3802710751. The cubic root of 2263160 is about 131.2920469971.

Adding to 2263160 its reverse (613622), we get a palindrome (2876782).

The spelling of 2263160 in words is "two million, two hundred sixty-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1951 3902 7804 9755 15608 19510 39020 56579 78040 113158 226316 282895 452632 565790 1131580 2263160