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2290080 = 253513367
BaseRepresentation
bin1000101111000110100000
311022100101210
420233012200
51041240310
6121030120
725315422
oct10570640
94270353
102290080
111324631
12925340
136224a0
14438812
15303820
hex22f1a0

2290080 has 96 divisors (see below), whose sum is σ = 7789824. Its totient is φ = 562176.

The previous prime is 2290069. The next prime is 2290081. The reversal of 2290080 is 800922.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2290081) 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, 6057 + ... + 6423.

It is an arithmetic number, because the mean of its divisors is an integer number (81144).

22290080 is an apocalyptic number.

2290080 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 2290080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3894912).

2290080 is an abundant number, since it is smaller than the sum of its proper divisors (5499744).

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

2290080 is a wasteful number, since it uses less digits than its factorization.

2290080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 2290080 is about 1513.3010275553. The cubic root of 2290080 is about 131.8105638951.

The spelling of 2290080 in words is "two million, two hundred ninety thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 367 390 416 480 520 624 734 780 1040 1101 1248 1468 1560 1835 2080 2202 2936 3120 3670 4404 4771 5505 5872 6240 7340 8808 9542 11010 11744 14313 14680 17616 19084 22020 23855 28626 29360 35232 38168 44040 47710 57252 58720 71565 76336 88080 95420 114504 143130 152672 176160 190840 229008 286260 381680 458016 572520 763360 1145040 2290080