Search a number
-
+
2171047340 = 225711361191
BaseRepresentation
bin1000000101100111…
…1000110110101100
312121022012122001202
42001121320312230
513421242003330
6555233025032
7104541412040
oct20131706654
95538178052
102171047340
11a14555000
125070b5178
13287a352c7
141684a2020
15ca8ed445
hex81678dac

2171047340 has 192 divisors, whose sum is σ = 5855625216. Its totient is φ = 662112000.

The previous prime is 2171047337. The next prime is 2171047343. The reversal of 2171047340 is 437401712.

It is an interprime number because it is at equal distance from previous prime (2171047337) and next prime (2171047343).

It is not an unprimeable number, because it can be changed into a prime (2171047343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11366645 + ... + 11366835.

It is an arithmetic number, because the mean of its divisors is an integer number (30498048).

Almost surely, 22171047340 is an apocalyptic number.

2171047340 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 2171047340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927812608).

2171047340 is an abundant number, since it is smaller than the sum of its proper divisors (3684577876).

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

2171047340 is a wasteful number, since it uses less digits than its factorization.

2171047340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 2171047340 is about 46594.4990315380. The cubic root of 2171047340 is about 1294.8608428160.

The spelling of 2171047340 in words is "two billion, one hundred seventy-one million, forty-seven thousand, three hundred forty".