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2263688 = 23740423
BaseRepresentation
bin1000101000101010001000
311021000012022
420220222020
51034414223
6120304012
725145450
oct10505210
94230168
102263688
111306819
12912008
1361347b
1442cd60
152eaac8
hex228a88

2263688 has 16 divisors (see below), whose sum is σ = 4850880. Its totient is φ = 970128.

The previous prime is 2263687. The next prime is 2263691. The reversal of 2263688 is 8863622.

It is a super-2 number, since 2×22636882 = 10248566722688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2263687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20156 + ... + 20267.

It is an arithmetic number, because the mean of its divisors is an integer number (303180).

22263688 is an apocalyptic number.

2263688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2263688 is an abundant number, since it is smaller than the sum of its proper divisors (2587192).

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

2263688 is a wasteful number, since it uses less digits than its factorization.

2263688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40436 (or 40432 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 2263688 is about 1504.5557483855. Note that the first 3 decimals coincide. The cubic root of 2263688 is about 131.3022564403.

The spelling of 2263688 in words is "two million, two hundred sixty-three thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 56 40423 80846 161692 282961 323384 565922 1131844 2263688