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288208230 = 2354724349
BaseRepresentation
bin10001001011011…
…011010101100110
3202002022111100220
4101023123111212
51042240130410
644333145210
710066505142
oct2113332546
9662274326
10288208230
11138760122
128062b206
134792c81b
142a3c4222
151a480070
hex112db566

288208230 has 48 divisors (see below), whose sum is σ = 706892400. Its totient is φ = 75203008.

The previous prime is 288208211. The next prime is 288208237. The reversal of 288208230 is 32802882.

It is a junction number, because it is equal to n+sod(n) for n = 288208191 and 288208200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (288208237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64096 + ... + 68444.

It is an arithmetic number, because the mean of its divisors is an integer number (14726925).

Almost surely, 2288208230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 288208230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353446200).

288208230 is an abundant number, since it is smaller than the sum of its proper divisors (418684170).

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

288208230 is a wasteful number, since it uses less digits than its factorization.

288208230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 288208230 is about 16976.6966751486. The cubic root of 288208230 is about 660.5445689157.

The spelling of 288208230 in words is "two hundred eighty-eight million, two hundred eight thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 2209 4349 4418 6627 8698 11045 13047 13254 21745 22090 26094 33135 43490 65235 66270 130470 204403 408806 613209 1022015 1226418 2044030 3066045 6132090 9606941 19213882 28820823 48034705 57641646 96069410 144104115 288208230