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2012288 = 2779199
BaseRepresentation
bin111101011010010000000
310210020100012
413223102000
51003343123
6111044052
723050505
oct7532200
93706305
102012288
111154953
12810628
13555c05
143a54ac
1529b378
hex1eb480

2012288 has 32 divisors (see below), whose sum is σ = 4080000. Its totient is φ = 988416.

The previous prime is 2012287. The next prime is 2012299. The reversal of 2012288 is 8822102.

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

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2012287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10013 + ... + 10211.

It is an arithmetic number, because the mean of its divisors is an integer number (127500).

22012288 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 2012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040000).

2012288 is an abundant number, since it is smaller than the sum of its proper divisors (2067712).

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

2012288 is an equidigital number, since it uses as much as digits as its factorization.

2012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2012288 is about 1418.5513737613. The cubic root of 2012288 is about 126.2496101677.

The spelling of 2012288 in words is "two million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 79 128 158 199 316 398 632 796 1264 1592 2528 3184 5056 6368 10112 12736 15721 25472 31442 62884 125768 251536 503072 1006144 2012288