Search a number
-
+
12230140 = 22513172767
BaseRepresentation
bin101110101001…
…110111111100
3212000100121011
4232221313330
511112331030
61114045004
7205645246
oct56516774
925010534
1012230140
1169a375a
124119764
1326c2990
1418a5096
151118b2a
hexba9dfc

12230140 has 48 divisors (see below), whose sum is σ = 29296512. Its totient is φ = 4248576.

The previous prime is 12230111. The next prime is 12230149. The reversal of 12230140 is 4103221.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 12230140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230149) 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, 3037 + ... + 5803.

It is an arithmetic number, because the mean of its divisors is an integer number (610344).

Almost surely, 212230140 is an apocalyptic number.

12230140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12230140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14648256).

12230140 is an abundant number, since it is smaller than the sum of its proper divisors (17066372).

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

12230140 is a wasteful number, since it uses less digits than its factorization.

12230140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2806 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 12230140 is about 3497.1617062984. The cubic root of 12230140 is about 230.3971713500.

Adding to 12230140 its reverse (4103221), we get a palindrome (16333361).

The spelling of 12230140 in words is "twelve million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 2767 4420 5534 11068 13835 27670 35971 47039 55340 71942 94078 143884 179855 188156 235195 359710 470390 611507 719420 940780 1223014 2446028 3057535 6115070 12230140