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2230564 = 227294167
BaseRepresentation
bin1000100000100100100100
311012022202111
420200210210
51032334224
6115450404
724650050
oct10404444
94168674
102230564
111293946
128b6a04
1360137b
14420c60
152e0d94
hex220924

2230564 has 48 divisors (see below), whose sum is σ = 4798080. Its totient is φ = 887040.

The previous prime is 2230561. The next prime is 2230577. The reversal of 2230564 is 4650322.

It is a happy number.

It is an Ulam number.

It is a d-powerful number, because it can be written as 215 + 219 + 313 + 0 + 57 + 62 + 45 .

It is not an unprimeable number, because it can be changed into a prime (2230561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33259 + ... + 33325.

It is an arithmetic number, because the mean of its divisors is an integer number (99960).

22230564 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 2230564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399040).

2230564 is an abundant number, since it is smaller than the sum of its proper divisors (2567516).

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

2230564 is a wasteful number, since it uses less digits than its factorization.

2230564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 2230564 is about 1493.5072815356. The cubic root of 2230564 is about 130.6586689306.

Adding to 2230564 its reverse (4650322), we get a palindrome (6880886).

The spelling of 2230564 in words is "two million, two hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 41 58 67 82 116 134 164 203 268 287 406 469 574 812 938 1148 1189 1876 1943 2378 2747 3886 4756 5494 7772 8323 10988 13601 16646 19229 27202 33292 38458 54404 76916 79663 159326 318652 557641 1115282 2230564