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2230332 = 2231317292
BaseRepresentation
bin1000100000100000111100
311012022102220
420200200330
51032332312
6115445340
724646266
oct10404074
94168386
102230332
111293755
128b6850
13601230
14420b36
152e0c8c
hex22083c

2230332 has 72 divisors (see below), whose sum is σ = 6145776. Its totient is φ = 623616.

The previous prime is 2230331. The next prime is 2230339. The reversal of 2230332 is 2330322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2230331) 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 23 ways as a sum of consecutive naturals, for example, 76894 + ... + 76922.

It is an arithmetic number, because the mean of its divisors is an integer number (85358).

22230332 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 2230332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072888).

2230332 is an abundant number, since it is smaller than the sum of its proper divisors (3915444).

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

2230332 is a wasteful number, since it uses less digits than its factorization.

2230332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

The square root of 2230332 is about 1493.4296099917. The cubic root of 2230332 is about 130.6541388563.

Adding to 2230332 its reverse (2330322), we get a palindrome (4560654).

The spelling of 2230332 in words is "two million, two hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 29 34 39 51 52 58 68 78 87 102 116 156 174 204 221 348 377 442 493 663 754 841 884 986 1131 1326 1479 1508 1682 1972 2262 2523 2652 2958 3364 4524 5046 5916 6409 10092 10933 12818 14297 19227 21866 25636 28594 32799 38454 42891 43732 57188 65598 76908 85782 131196 171564 185861 371722 557583 743444 1115166 2230332