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288313230 = 235411571493
BaseRepresentation
bin10001001011110…
…100111110001110
3202002111211101210
4101023310332032
51042302010410
644335315250
710100423232
oct2113647616
9662454353
10288313230
11138821aa7
128067bb26
134796855a
142a4105c2
151a4a1220
hex112f4f8e

288313230 has 64 divisors (see below), whose sum is σ = 713821248. Its totient is φ = 74480640.

The previous prime is 288313229. The next prime is 288313231. The reversal of 288313230 is 32313882.

It is an interprime number because it is at equal distance from previous prime (288313229) and next prime (288313231).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288313231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192364 + ... + 193856.

It is an arithmetic number, because the mean of its divisors is an integer number (11153457).

Almost surely, 2288313230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288313230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356910624).

288313230 is an abundant number, since it is smaller than the sum of its proper divisors (425508018).

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

288313230 is a wasteful number, since it uses less digits than its factorization.

288313230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 288313230 is about 16979.7888679453. The cubic root of 288313230 is about 660.6247756915.

The spelling of 288313230 in words is "two hundred eighty-eight million, three hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 157 205 246 314 410 471 615 785 942 1230 1493 1570 2355 2986 4479 4710 6437 7465 8958 12874 14930 19311 22395 32185 38622 44790 61213 64370 96555 122426 183639 193110 234401 306065 367278 468802 612130 703203 918195 1172005 1406406 1836390 2344010 3516015 7032030 9610441 19220882 28831323 48052205 57662646 96104410 144156615 288313230