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288229088 = 2571967723
BaseRepresentation
bin10001001011100…
…000011011100000
3202002100112222102
4101023200123200
51042241312323
644333425532
710066623020
oct2113403340
9662315872
10288229088
11138774864
128063b2a8
1347939174
142a3cba80
151a486328
hex112e06e0

288229088 has 48 divisors (see below), whose sum is σ = 682657920. Its totient is φ = 117023616.

The previous prime is 288229079. The next prime is 288229091. The reversal of 288229088 is 880922882.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 29606 + ... + 38117.

It is an arithmetic number, because the mean of its divisors is an integer number (14222040).

Almost surely, 2288229088 is an apocalyptic number.

288229088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

288229088 is an abundant number, since it is smaller than the sum of its proper divisors (394428832).

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

288229088 is a wasteful number, since it uses less digits than its factorization.

288229088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67759 (or 67751 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 47.

The square root of 288229088 is about 16977.3109767124. The cubic root of 288229088 is about 660.5605033511.

The spelling of 288229088 in words is "two hundred eighty-eight million, two hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 67723 135446 270892 474061 541784 948122 1083568 1286737 1896244 2167136 2573474 3792488 5146948 7584976 9007159 10293896 15169952 18014318 20587792 36028636 41175584 72057272 144114544 288229088