Search a number
-
+
2238580 = 2251943137
BaseRepresentation
bin1000100010100001110100
311012201202101
420202201310
51033113310
6115551444
725012321
oct10424164
94181671
102238580
111299973
128bb584
13604c06
14423b48
152e343a
hex222874

2238580 has 48 divisors (see below), whose sum is σ = 5100480. Its totient is φ = 822528.

The previous prime is 2238571. The next prime is 2238589. The reversal of 2238580 is 858322.

It is an interprime number because it is at equal distance from previous prime (2238571) and next prime (2238589).

It is a super-2 number, since 2×22385802 = 10022480832800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2238589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16272 + ... + 16408.

It is an arithmetic number, because the mean of its divisors is an integer number (106260).

22238580 is an apocalyptic number.

2238580 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 2238580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550240).

2238580 is an abundant number, since it is smaller than the sum of its proper divisors (2861900).

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

2238580 is a wasteful number, since it uses less digits than its factorization.

2238580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2238580 is about 1496.1884907992. The cubic root of 2238580 is about 130.8149982646.

The spelling of 2238580 in words is "two million, two hundred thirty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 95 137 172 190 215 274 380 430 548 685 817 860 1370 1634 2603 2740 3268 4085 5206 5891 8170 10412 11782 13015 16340 23564 26030 29455 52060 58910 111929 117820 223858 447716 559645 1119290 2238580