Search a number
-
+
12214409088 = 2737103157281
BaseRepresentation
bin10110110000000100…
…10001011110000000
31011112020120021022210
423120002101132000
5200003342042323
65340005102120
7611453523060
oct133002213600
934466507283
1012214409088
1151a8796372
12244a6b7940
1311c86c54cb
1483c2b13a0
154b74c4293
hex2d8091780

12214409088 has 256 divisors, whose sum is σ = 37812003840. Its totient is φ = 3421716480.

The previous prime is 12214409059. The next prime is 12214409089. The reversal of 12214409088 is 88090441221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214409089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43467508 + ... + 43467788.

It is an arithmetic number, because the mean of its divisors is an integer number (147703140).

Almost surely, 212214409088 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 12214409088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18906001920).

12214409088 is an abundant number, since it is smaller than the sum of its proper divisors (25597594752).

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

12214409088 is a wasteful number, since it uses less digits than its factorization.

12214409088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 12214409088 in words is "twelve billion, two hundred fourteen million, four hundred nine thousand, eighty-eight".