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2288016 = 243215889
BaseRepresentation
bin1000101110100110010000
311022020120100
420232212100
51041204031
6121012400
725306413
oct10564620
94266510
102288016
111323025
12924100
13621573
14437b7a
15302de6
hex22e990

2288016 has 30 divisors (see below), whose sum is σ = 6403670. Its totient is φ = 762624.

The previous prime is 2288009. The next prime is 2288029. The reversal of 2288016 is 6108822.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 608400 = 1296^2 + 780^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7801 + ... + 8088.

22288016 is an apocalyptic number.

It is an amenable number.

2288016 is an abundant number, since it is smaller than the sum of its proper divisors (4115654).

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

2288016 is a wasteful number, since it uses less digits than its factorization.

2288016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15903 (or 15894 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2288016 is about 1512.6189209447. The cubic root of 2288016 is about 131.7709526475.

The spelling of 2288016 in words is "two million, two hundred eighty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 15889 31778 47667 63556 95334 127112 143001 190668 254224 286002 381336 572004 762672 1144008 2288016