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2290240 = 26517421
BaseRepresentation
bin1000101111001001000000
311022100121201
420233021000
51041241430
6121030544
725316041
oct10571100
94270551
102290240
111324767
12925454
13622594
144388c8
153038ca
hex22f240

2290240 has 56 divisors (see below), whose sum is σ = 5788152. Its totient is φ = 860160.

The previous prime is 2290231. The next prime is 2290243. The reversal of 2290240 is 420922.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 2262016 = 168^2 + 1504^2 .

It is not an unprimeable number, because it can be changed into a prime (2290243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5230 + ... + 5650.

22290240 is an apocalyptic number.

2290240 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 2290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894076).

2290240 is an abundant number, since it is smaller than the sum of its proper divisors (3497912).

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

2290240 is a wasteful number, since it uses less digits than its factorization.

2290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2290240 is about 1513.3538911966. The cubic root of 2290240 is about 131.8136335403.

The spelling of 2290240 in words is "two million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 421 544 680 842 1088 1360 1684 2105 2720 3368 4210 5440 6736 7157 8420 13472 14314 16840 26944 28628 33680 35785 57256 67360 71570 114512 134720 143140 229024 286280 458048 572560 1145120 2290240