Search a number
-
+
2241162 = 23373112
BaseRepresentation
bin1000100011001010001010
311012212022000
420203022022
51033204122
6120011430
725023000
oct10431212
94185260
102241162
1112a0900
12900b76
13606141
14424a70
152e40ac
hex22328a

2241162 has 96 divisors (see below), whose sum is σ = 6384000. Its totient is φ = 582120.

The previous prime is 2241139. The next prime is 2241163. The reversal of 2241162 is 2611422.

It is a super-2 number, since 2×22411622 = 10045614220488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2241163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203737 + ... + 203747.

It is an arithmetic number, because the mean of its divisors is an integer number (66500).

22241162 is an apocalyptic number.

2241162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2241162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192000).

2241162 is an abundant number, since it is smaller than the sum of its proper divisors (4142838).

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

2241162 is a wasteful number, since it uses less digits than its factorization.

2241162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 23 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 2241162 is about 1497.0511013322. The cubic root of 2241162 is about 130.8652733718.

Adding to 2241162 its reverse (2611422), we get a palindrome (4852584).

The spelling of 2241162 in words is "two million, two hundred forty-one thousand, one hundred sixty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 121 126 147 154 189 198 231 242 294 297 343 363 378 441 462 539 594 686 693 726 847 882 1029 1078 1089 1323 1386 1617 1694 2058 2079 2178 2541 2646 3087 3234 3267 3773 4158 4851 5082 5929 6174 6534 7546 7623 9261 9702 11319 11858 14553 15246 17787 18522 22638 22869 29106 33957 35574 41503 45738 53361 67914 83006 101871 106722 124509 160083 203742 249018 320166 373527 747054 1120581 2241162