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288222340 = 225719310667
BaseRepresentation
bin10001001011011…
…110110010000100
3202002100012201111
4101023132302010
51042241103330
644333334404
710066564240
oct2113366204
9662305644
10288222340
1113876a78a
1280637404
1347936083
142a3c9420
151a48432a
hex112dec84

288222340 has 48 divisors (see below), whose sum is σ = 695382912. Its totient is φ = 98297856.

The previous prime is 288222281. The next prime is 288222367. The reversal of 288222340 is 43222882.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21687 + ... + 32353.

It is an arithmetic number, because the mean of its divisors is an integer number (14487144).

Almost surely, 2288222340 is an apocalyptic number.

288222340 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 288222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347691456).

288222340 is an abundant number, since it is smaller than the sum of its proper divisors (407160572).

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

288222340 is a wasteful number, since it uses less digits than its factorization.

288222340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10874 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 288222340 is about 16977.1122397185. The cubic root of 288222340 is about 660.5553483115. Note that the first 3 decimals are identical.

The spelling of 288222340 in words is "two hundred eighty-eight million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 193 386 772 965 1351 1930 2702 3860 5404 6755 10667 13510 21334 27020 42668 53335 74669 106670 149338 213340 298676 373345 746690 1493380 2058731 4117462 8234924 10293655 14411117 20587310 28822234 41174620 57644468 72055585 144111170 288222340