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2262048 = 25323563
BaseRepresentation
bin1000101000010000100000
311020220221120
420220100200
51034341143
6120252240
725140615
oct10502040
94226846
102262048
111305568
12911080
136127b9
1442c50c
152ea383
hex228420

2262048 has 24 divisors (see below), whose sum is σ = 5938128. Its totient is φ = 753984.

The previous prime is 2262031. The next prime is 2262049. The reversal of 2262048 is 8402622.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×22620482 = 10233722308608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2262049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11686 + ... + 11877.

It is an arithmetic number, because the mean of its divisors is an integer number (247422).

22262048 is an apocalyptic number.

It is an amenable number.

2262048 is an abundant number, since it is smaller than the sum of its proper divisors (3676080).

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

2262048 is a wasteful number, since it uses less digits than its factorization.

2262048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23576 (or 23568 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2262048 is about 1504.0106382602. The cubic root of 2262048 is about 131.2705400960.

The spelling of 2262048 in words is "two million, two hundred sixty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23563 47126 70689 94252 141378 188504 282756 377008 565512 754016 1131024 2262048