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2261130 = 2352329113
BaseRepresentation
bin1000101000000010001010
311020212200120
420220002022
51034324010
6120244110
725135134
oct10500212
94225616
102261130
111304903
12910636
13612261
1442c054
152e9e70
hex22808a

2261130 has 64 divisors (see below), whose sum is σ = 5909760. Its totient is φ = 551936.

The previous prime is 2261117. The next prime is 2261131. The reversal of 2261130 is 311622.

It is a super-2 number, since 2×22611302 = 10225417753800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2261131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19954 + ... + 20066.

It is an arithmetic number, because the mean of its divisors is an integer number (92340).

22261130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954880).

2261130 is an abundant number, since it is smaller than the sum of its proper divisors (3648630).

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

2261130 is a wasteful number, since it uses less digits than its factorization.

2261130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2261130 is about 1503.7054232794. The cubic root of 2261130 is about 131.2527799865.

Adding to 2261130 its reverse (311622), we get a palindrome (2572752).

The spelling of 2261130 in words is "two million, two hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 29 30 46 58 69 87 113 115 138 145 174 226 230 290 339 345 435 565 667 678 690 870 1130 1334 1695 2001 2599 3277 3335 3390 4002 5198 6554 6670 7797 9831 10005 12995 15594 16385 19662 20010 25990 32770 38985 49155 75371 77970 98310 150742 226113 376855 452226 753710 1130565 2261130