Search a number
-
+
2103238656 = 2133337257
BaseRepresentation
bin111110101011100…
…1110000000000000
312102120121121001000
41331113032000000
513301412114111
6544411412000
7103056143061
oct17527160000
95376547030
102103238656
1198a250372
124a8454000
1327698301c
1415d490568
15c49a6c56
hex7d5ce000

2103238656 has 224 divisors, whose sum is σ = 6424757280. Its totient is φ = 679477248.

The previous prime is 2103238633. The next prime is 2103238663. The reversal of 2103238656 is 6568323012.

It is a happy number.

It is a super-2 number, since 2×21032386562 = 8847225688185372672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2103238656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8183680 + ... + 8183936.

Almost surely, 22103238656 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 2103238656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212378640).

2103238656 is an abundant number, since it is smaller than the sum of its proper divisors (4321518624).

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

2103238656 is an equidigital number, since it uses as much as digits as its factorization.

2103238656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2103238656 is about 45861.0799698393. The cubic root of 2103238656 is about 1281.2371372383.

The spelling of 2103238656 in words is "two billion, one hundred three million, two hundred thirty-eight thousand, six hundred fifty-six".