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2351140540 = 2257211932011
BaseRepresentation
bin1000110000100011…
…1000111010111100
320001212002022111021
42030020320322330
514303342444130
61025145033524
7112156236100
oct21410707274
96055068437
102351140540
11aa7180761
125574858a4
132b613c728
14184381900
15db62437a
hex8c238ebc

2351140540 has 72 divisors (see below), whose sum is σ = 5751173232. Its totient is φ = 805029120.

The previous prime is 2351140439. The next prime is 2351140591. The reversal of 2351140540 is 450411532.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168135 + ... + 1170145.

It is an arithmetic number, because the mean of its divisors is an integer number (79877406).

Almost surely, 22351140540 is an apocalyptic number.

2351140540 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 2351140540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875586616).

2351140540 is an abundant number, since it is smaller than the sum of its proper divisors (3400032692).

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

2351140540 is a wasteful number, since it uses less digits than its factorization.

2351140540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3227 (or 3218 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2351140540 is about 48488.5609190456. The cubic root of 2351140540 is about 1329.7179457289.

The spelling of 2351140540 in words is "two billion, three hundred fifty-one million, one hundred forty thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1193 2011 2386 4022 4772 5965 8044 8351 10055 11930 14077 16702 20110 23860 28154 33404 40220 41755 56308 58457 70385 83510 98539 116914 140770 167020 197078 233828 281540 292285 394156 492695 584570 985390 1169140 1970780 2399123 4798246 9596492 11995615 16793861 23991230 33587722 47982460 67175444 83969305 117557027 167938610 235114054 335877220 470228108 587785135 1175570270 2351140540