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2262320 = 24528279
BaseRepresentation
bin1000101000010100110000
311020221022122
420220110300
51034343240
6120253412
725141454
oct10502460
94227278
102262320
111305795
12911268
13612968
1442c664
152ea4b5
hex228530

2262320 has 20 divisors (see below), whose sum is σ = 5260080. Its totient is φ = 904896.

The previous prime is 2262313. The next prime is 2262329. The reversal of 2262320 is 232622.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262329) 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, 14060 + ... + 14219.

It is an arithmetic number, because the mean of its divisors is an integer number (263004).

22262320 is an apocalyptic number.

2262320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2262320 is an abundant number, since it is smaller than the sum of its proper divisors (2997760).

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

2262320 is a wasteful number, since it uses less digits than its factorization.

2262320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28292 (or 28286 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2262320 is about 1504.1010604344. The cubic root of 2262320 is about 131.2758014279.

Adding to 2262320 its reverse (232622), we get a palindrome (2494942).

The spelling of 2262320 in words is "two million, two hundred sixty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 28279 56558 113116 141395 226232 282790 452464 565580 1131160 2262320