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2263840 = 25514149
BaseRepresentation
bin1000101000101100100000
311021000101221
420220230200
51034420330
6120304424
725146055
oct10505440
94230357
102263840
111306947
12912114
13613567
1442d02c
152eab7a
hex228b20

2263840 has 24 divisors (see below), whose sum is σ = 5348700. Its totient is φ = 905472.

The previous prime is 2263829. The next prime is 2263841. The reversal of 2263840 is 483622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2178576 + 85264 = 1476^2 + 292^2 .

It is not an unprimeable number, because it can be changed into a prime (2263841) 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, 6915 + ... + 7234.

22263840 is an apocalyptic number.

2263840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2263840 is an abundant number, since it is smaller than the sum of its proper divisors (3084860).

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

2263840 is a wasteful number, since it uses less digits than its factorization.

2263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14164 (or 14156 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2263840 is about 1504.6062607872. The cubic root of 2263840 is about 131.3051952281.

The spelling of 2263840 in words is "two million, two hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14149 28298 56596 70745 113192 141490 226384 282980 452768 565960 1131920 2263840