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2159319260 = 22572173137113
BaseRepresentation
bin1000000010110100…
…1001100011011100
312120111010210011102
42000231021203130
513410241204020
6554133412232
7104336624300
oct20055114334
95514123142
102159319260
11a0897457a
1250319a078
1328548a007
14166acbd00
15c9883475
hex80b498dc

2159319260 has 288 divisors, whose sum is σ = 5973585408. Its totient is φ = 650280960.

The previous prime is 2159319251. The next prime is 2159319289. The reversal of 2159319260 is 629139512.

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 95 ways as a sum of consecutive naturals, for example, 19108964 + ... + 19109076.

It is an arithmetic number, because the mean of its divisors is an integer number (20741616).

Almost surely, 22159319260 is an apocalyptic number.

2159319260 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 2159319260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2986792704).

2159319260 is an abundant number, since it is smaller than the sum of its proper divisors (3814266148).

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

2159319260 is a wasteful number, since it uses less digits than its factorization.

2159319260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 2159319260 is about 46468.4759810347. The cubic root of 2159319260 is about 1292.5250025405.

The spelling of 2159319260 in words is "two billion, one hundred fifty-nine million, three hundred nineteen thousand, two hundred sixty".