Search a number
-
+
2118163320 = 23325713194183
BaseRepresentation
bin111111001000000…
…1001101101111000
312110121200211211100
41332100021231320
513314222211240
6550103331400
7103330043160
oct17620115570
95417624740
102118163320
119977144a9
124b1450b60
13279aaa2a0
141614575a0
15c5e53e30
hex7e409b78

2118163320 has 768 divisors, whose sum is σ = 9246182400. Its totient is φ = 408084480.

The previous prime is 2118163291. The next prime is 2118163349. The reversal of 2118163320 is 233618112.

It is a happy number.

2118163320 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 1 + 633 + 20 = 666.

2118163320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2118163291) and next prime (2118163349).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25519999 + ... + 25520081.

It is an arithmetic number, because the mean of its divisors is an integer number (12039300).

Almost surely, 22118163320 is an apocalyptic number.

2118163320 is a gapful number since it is divisible by the number (20) 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 2118163320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623091200).

2118163320 is an abundant number, since it is smaller than the sum of its proper divisors (7128019080).

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

2118163320 is a wasteful number, since it uses less digits than its factorization.

2118163320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2118163320 is about 46023.5083408469. The cubic root of 2118163320 is about 1284.2605666779.

The spelling of 2118163320 in words is "two billion, one hundred eighteen million, one hundred sixty-three thousand, three hundred twenty".