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2288088 = 233511107
BaseRepresentation
bin1000101110100111011000
311022020200000
420232213120
51041204323
6121013000
725306545
oct10564730
94266600
102288088
111323090
12924160
136215ca
14437bcc
15302e43
hex22e9d8

2288088 has 96 divisors (see below), whose sum is σ = 7076160. Its totient is φ = 686880.

The previous prime is 2288059. The next prime is 2288089. The reversal of 2288088 is 8808822.

2288088 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2288089) 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, 21331 + ... + 21437.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

22288088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2288088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538080).

2288088 is an abundant number, since it is smaller than the sum of its proper divisors (4788072).

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

2288088 is a wasteful number, since it uses less digits than its factorization.

2288088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 2288088 is about 1512.6427205391. The cubic root of 2288088 is about 131.7723348361.

The spelling of 2288088 in words is "two million, two hundred eighty-eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 107 108 132 162 198 214 216 243 264 297 321 324 396 428 486 594 642 648 792 856 891 963 972 1177 1188 1284 1782 1926 1944 2354 2376 2568 2673 2889 3531 3564 3852 4708 5346 5778 7062 7128 7704 8667 9416 10593 10692 11556 14124 17334 21186 21384 23112 26001 28248 31779 34668 42372 52002 63558 69336 84744 95337 104004 127116 190674 208008 254232 286011 381348 572022 762696 1144044 2288088