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2263936 = 2723769
BaseRepresentation
bin1000101000101110000000
311021000112111
420220232000
51034421221
6120305104
725146253
oct10505600
94230474
102263936
111306a24
12912194
1361360c
1442d09a
152eabe1
hex228b80

2263936 has 32 divisors (see below), whose sum is σ = 4712400. Its totient is φ = 1081344.

The previous prime is 2263931. The next prime is 2263939. The reversal of 2263936 is 6393622.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2263898 and 2263907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2263931) 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, 2560 + ... + 3328.

22263936 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 2263936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356200).

2263936 is an abundant number, since it is smaller than the sum of its proper divisors (2448464).

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

2263936 is an equidigital number, since it uses as much as digits as its factorization.

2263936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 794 counting only the distinct ones).

The product of its digits is 11664, while the sum is 31.

The square root of 2263936 is about 1504.6381624829. The cubic root of 2263936 is about 131.3070512369.

The spelling of 2263936 in words is "two million, two hundred sixty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 769 1472 1538 2944 3076 6152 12304 17687 24608 35374 49216 70748 98432 141496 282992 565984 1131968 2263936