Search a number
-
+
2821230 = 238543
BaseRepresentation
bin1010110000110001101110
312022100000000
422300301232
51210234410
6140245130
732660106
oct12606156
95270000
102821230
1116576a5
12b407a6
1377a189
14536206
153aadc0
hex2b0c6e

2821230 has 72 divisors (see below), whose sum is σ = 7794072. Its totient is φ = 734832.

The previous prime is 2821229. The next prime is 2821267. The reversal of 2821230 is 321282.

It is a happy number.

2821230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 65589 + ... + 65631.

It is an arithmetic number, because the mean of its divisors is an integer number (108251).

22821230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2821230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897036).

2821230 is an abundant number, since it is smaller than the sum of its proper divisors (4972842).

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

2821230 is an frugal number, since it uses more digits than its factorization.

2821230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2821230 is about 1679.6517496195. The cubic root of 2821230 is about 141.3013022721.

The spelling of 2821230 in words is "two million, eight hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 243 258 270 387 405 430 486 645 729 774 810 1161 1215 1290 1458 1935 2187 2322 2430 3483 3645 3870 4374 5805 6561 6966 7290 10449 10935 11610 13122 17415 20898 21870 31347 32805 34830 52245 62694 65610 94041 104490 156735 188082 282123 313470 470205 564246 940410 1410615 2821230