Search a number
-
+
12214332460 = 22511433128221
BaseRepresentation
bin10110110000000011…
…11110110000101100
31011112020102101012201
423120001332300230
5200003332114320
65340003311244
7611453053501
oct133001766054
934466371181
1012214332460
1151a8743840
12244a67b524
1311c8699675
1483c2914a8
154b74ab70a
hex2d807ec2c

12214332460 has 48 divisors (see below), whose sum is σ = 28046767392. Its totient is φ = 4431283200.

The previous prime is 12214332443. The next prime is 12214332461. The reversal of 12214332460 is 6423341221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12214332461) 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, 31150 + ... + 159370.

It is an arithmetic number, because the mean of its divisors is an integer number (584307654).

Almost surely, 212214332460 is an apocalyptic number.

12214332460 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 12214332460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14023383696).

12214332460 is an abundant number, since it is smaller than the sum of its proper divisors (15832434932).

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

12214332460 is a wasteful number, since it uses less digits than its factorization.

12214332460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128674 (or 128672 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 12214332460 its reverse (6423341221), we get a palindrome (18637673681).

The spelling of 12214332460 in words is "twelve billion, two hundred fourteen million, three hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 433 866 1732 2165 4330 4763 8660 9526 19052 23815 47630 95260 128221 256442 512884 641105 1282210 1410431 2564420 2820862 5641724 7052155 14104310 28208620 55519693 111039386 222078772 277598465 555196930 610716623 1110393860 1221433246 2442866492 3053583115 6107166230 12214332460