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2159324160 = 210357219151
BaseRepresentation
bin1000000010110100…
…1010110000000000
312120111011000212220
42000231022300000
513410241333120
6554133451040
7104336644500
oct20055126000
95514130786
102159324160
11a08978224
125031a0a80
1328548c306
14166acda00
15c9884b40
hex80b4ac00

2159324160 has 528 divisors, whose sum is σ = 8512899840. Its totient is φ = 464486400.

The previous prime is 2159324113. The next prime is 2159324183. The reversal of 2159324160 is 614239512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14300085 + ... + 14300235.

Almost surely, 22159324160 is an apocalyptic number.

2159324160 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 2159324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4256449920).

2159324160 is an abundant number, since it is smaller than the sum of its proper divisors (6353575680).

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

2159324160 is a wasteful number, since it uses less digits than its factorization.

2159324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2159324160 is about 46468.5287049203. The cubic root of 2159324160 is about 1292.5259802202.

It can be divided in two parts, 21593 and 24160, that added together give a triangular number (45753 = T302).

The spelling of 2159324160 in words is "two billion, one hundred fifty-nine million, three hundred twenty-four thousand, one hundred sixty".