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2225872 = 241112647
BaseRepresentation
bin1000011111011011010000
311012002022201
420133123100
51032211442
6115412544
724630265
oct10373320
94162281
102225872
111290370
128b4154
135cc1ac
1441d26c
152de7b7
hex21f6d0

2225872 has 20 divisors (see below), whose sum is σ = 4705056. Its totient is φ = 1011680.

The previous prime is 2225863. The next prime is 2225879. The reversal of 2225872 is 2785222.

2225872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2 + 213 + 217 + 59 + 8 + 74 + 217 .

It is a self number, because there is not a number n which added to its sum of digits gives 2225872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6148 + ... + 6499.

22225872 is an apocalyptic number.

2225872 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2225872 is an abundant number, since it is smaller than the sum of its proper divisors (2479184).

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

2225872 is a wasteful number, since it uses less digits than its factorization.

2225872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12666 (or 12660 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 2225872 is about 1491.9356554490. The cubic root of 2225872 is about 130.5669909471.

The spelling of 2225872 in words is "two million, two hundred twenty-five thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 44 88 176 12647 25294 50588 101176 139117 202352 278234 556468 1112936 2225872