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2230672 = 241759139
BaseRepresentation
bin1000100000100110010000
311012022220111
420200212100
51032340142
6115451104
724650263
oct10404620
94168814
102230672
111293a34
128b6a94
13601432
14420cda
152e0e17
hex220990

2230672 has 40 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 1024512.

The previous prime is 2230663. The next prime is 2230673. The reversal of 2230672 is 2760322.

2230672 is digitally balanced in base 5, 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 25 + 217 + 32 + 0 + 6 + 74 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2230673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15979 + ... + 16117.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22230672 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 2230672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

2230672 is an abundant number, since it is smaller than the sum of its proper divisors (2456528).

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

2230672 is a wasteful number, since it uses less digits than its factorization.

2230672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 2230672 is about 1493.5434376007. The cubic root of 2230672 is about 130.6607776512.

Adding to 2230672 its reverse (2760322), we get a palindrome (4990994).

The spelling of 2230672 in words is "two million, two hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 59 68 118 136 139 236 272 278 472 556 944 1003 1112 2006 2224 2363 4012 4726 8024 8201 9452 16048 16402 18904 32804 37808 65608 131216 139417 278834 557668 1115336 2230672