Search a number
-
+
2159182080 = 283251121549
BaseRepresentation
bin1000000010110010…
…1000000100000000
312120110212210222200
42000230220010000
513410222311310
6554130433200
7104335513326
oct20054500400
95513783880
102159182080
11a08890500
12503132800
1328543c743
14166a93d16
15c98579c0
hex80b28100

2159182080 has 324 divisors, whose sum is σ = 8216726700. Its totient is φ = 523100160.

The previous prime is 2159182079. The next prime is 2159182171. The reversal of 2159182080 is 802819512.

It can be written as a sum of positive squares in 2 ways, for example, as 753831936 + 1405350144 = 27456^2 + 37488^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1393146 + ... + 1394694.

Almost surely, 22159182080 is an apocalyptic number.

2159182080 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 2159182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108363350).

2159182080 is an abundant number, since it is smaller than the sum of its proper divisors (6057544620).

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

2159182080 is a wasteful number, since it uses less digits than its factorization.

2159182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2159182080 is about 46466.9999031571. Note that the first 4 decimals coincide. The cubic root of 2159182080 is about 1292.4976308995.

The spelling of 2159182080 in words is "two billion, one hundred fifty-nine million, one hundred eighty-two thousand, eighty".