Search a number
-
+
2260116 = 2233171231
BaseRepresentation
bin1000100111110010010100
311020211022000
420213302110
51034310431
6120235300
725132155
oct10476224
94224260
102260116
111304071
1290bb30
13611961
1442b92c
152e99e6
hex227c94

2260116 has 48 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 708480.

The previous prime is 2260087. The next prime is 2260127. The reversal of 2260116 is 6110622.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1221 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (129360).

22260116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2260116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

2260116 is an abundant number, since it is smaller than the sum of its proper divisors (3949164).

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

2260116 is a wasteful number, since it uses less digits than its factorization.

2260116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1261 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2260116 is about 1503.3682183683. The cubic root of 2260116 is about 131.2331570223.

Adding to 2260116 its reverse (6110622), we get a palindrome (8370738).

The spelling of 2260116 in words is "two million, two hundred sixty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1231 1836 2462 3693 4924 7386 11079 14772 20927 22158 33237 41854 44316 62781 66474 83708 125562 132948 188343 251124 376686 565029 753372 1130058 2260116