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2230632 = 233323449
BaseRepresentation
bin1000100000100101101000
311012022212000
420200211220
51032340012
6115451000
724650205
oct10404550
94168760
102230632
1112939a8
128b6a60
13601401
14420cac
152e0ddc
hex220968

2230632 has 64 divisors (see below), whose sum is σ = 6480000. Its totient is φ = 709632.

The previous prime is 2230597. The next prime is 2230633. The reversal of 2230632 is 2360322.

2230632 is a `hidden beast` number, since 2 + 2 + 30 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 211 + 217 + 34 + 0 + 62 + 35 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2230633) 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 15 ways as a sum of consecutive naturals, for example, 4744 + ... + 5192.

It is an arithmetic number, because the mean of its divisors is an integer number (101250).

22230632 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 2230632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240000).

2230632 is an abundant number, since it is smaller than the sum of its proper divisors (4249368).

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

2230632 is a wasteful number, since it uses less digits than its factorization.

2230632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2230632 is about 1493.5300465675. The cubic root of 2230632 is about 130.6599966515.

Adding to 2230632 its reverse (2360322), we get a palindrome (4590954).

The spelling of 2230632 in words is "two million, two hundred thirty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 449 552 621 828 898 1242 1347 1656 1796 2484 2694 3592 4041 4968 5388 8082 10327 10776 12123 16164 20654 24246 30981 32328 41308 48492 61962 82616 92943 96984 123924 185886 247848 278829 371772 557658 743544 1115316 2230632