Search a number
-
+
2239080 = 233547397
BaseRepresentation
bin1000100010101001101000
311012202102220
420202221220
51033122310
6115554040
725013634
oct10425150
94182386
102239080
11129a288
128bb920
136051cc
14423dc4
152e3670
hex222a68

2239080 has 64 divisors (see below), whose sum is σ = 6877440. Its totient is φ = 582912.

The previous prime is 2239063. The next prime is 2239103. The reversal of 2239080 is 809322.

It is a super-3 number, since 3×22390803 = 33676743333087936000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2239080.

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, 5442 + ... + 5838.

It is an arithmetic number, because the mean of its divisors is an integer number (107460).

22239080 is an apocalyptic number.

2239080 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 2239080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438720).

2239080 is an abundant number, since it is smaller than the sum of its proper divisors (4638360).

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

2239080 is a wasteful number, since it uses less digits than its factorization.

2239080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 2239080 is about 1496.3555727166. The cubic root of 2239080 is about 130.8247369724.

The spelling of 2239080 in words is "two million, two hundred thirty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 397 470 564 705 794 940 1128 1191 1410 1588 1880 1985 2382 2820 3176 3970 4764 5640 5955 7940 9528 11910 15880 18659 23820 37318 47640 55977 74636 93295 111954 149272 186590 223908 279885 373180 447816 559770 746360 1119540 2239080