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2159170640 = 2451119296173
BaseRepresentation
bin1000000010110010…
…0101010001010000
312120110212020021222
42000230211101100
513410221430030
6554130304212
7104335435064
oct20054452120
95513766258
102159170640
11a08882950
12503128068
13285437483
14166a8daa4
15c98543e5
hex80b25450

2159170640 has 320 divisors, whose sum is σ = 6144249600. Its totient is φ = 696729600.

The previous prime is 2159170639. The next prime is 2159170679. The reversal of 2159170640 is 460719512.

2159170640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2159170640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29577644 + ... + 29577716.

It is an arithmetic number, because the mean of its divisors is an integer number (19200780).

Almost surely, 22159170640 is an apocalyptic number.

2159170640 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 2159170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072124800).

2159170640 is an abundant number, since it is smaller than the sum of its proper divisors (3985078960).

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

2159170640 is a wasteful number, since it uses less digits than its factorization.

2159170640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 2159170640 is about 46466.8768048811. The cubic root of 2159170640 is about 1292.4953482143.

The spelling of 2159170640 in words is "two billion, one hundred fifty-nine million, one hundred seventy thousand, six hundred forty".