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2287260 = 2232597131
BaseRepresentation
bin1000101110011010011100
311022012112100
420232122130
51041143020
6121005100
725304253
oct10563234
94265470
102287260
1113224a8
12923790
13621111
1443779a
15302a90
hex22e69c

2287260 has 72 divisors (see below), whose sum is σ = 7063056. Its totient is φ = 599040.

The previous prime is 2287249. The next prime is 2287261. The reversal of 2287260 is 627822.

2287260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2287261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17395 + ... + 17525.

It is an arithmetic number, because the mean of its divisors is an integer number (98098).

22287260 is an apocalyptic number.

2287260 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 2287260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3531528).

2287260 is an abundant number, since it is smaller than the sum of its proper divisors (4775796).

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

2287260 is a wasteful number, since it uses less digits than its factorization.

2287260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2287260 is about 1512.3690025916. The cubic root of 2287260 is about 131.7564379160.

The spelling of 2287260 in words is "two million, two hundred eighty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 131 180 194 262 291 388 393 485 524 582 655 786 873 970 1164 1179 1310 1455 1572 1746 1940 1965 2358 2620 2910 3492 3930 4365 4716 5820 5895 7860 8730 11790 12707 17460 23580 25414 38121 50828 63535 76242 114363 127070 152484 190605 228726 254140 381210 457452 571815 762420 1143630 2287260