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2314271120 = 24576761681
BaseRepresentation
bin1000100111110000…
…1111100110010000
312222021201011011012
42021330033212100
514214423133440
61021350510052
7111230660060
oct21174174620
95867634135
102314271120
11a88389167
12547065328
132ab600ac5
1417d5053a0
15d828ee65
hex89f0f990

2314271120 has 80 divisors (see below), whose sum is σ = 6241231488. Its totient is φ = 781608960.

The previous prime is 2314271111. The next prime is 2314271123. The reversal of 2314271120 is 211724132.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2314271123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6680 + ... + 68360.

Almost surely, 22314271120 is an apocalyptic number.

2314271120 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 2314271120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3120615744).

2314271120 is an abundant number, since it is smaller than the sum of its proper divisors (3926960368).

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

2314271120 is a wasteful number, since it uses less digits than its factorization.

2314271120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61768 (or 61762 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 2314271120 is about 48106.8718583946. The cubic root of 2314271120 is about 1322.7306344574.

Adding to 2314271120 its reverse (211724132), we get a palindrome (2525995252).

The spelling of 2314271120 in words is "two billion, three hundred fourteen million, two hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 9380 18760 37520 61681 123362 246724 308405 431767 493448 616810 863534 986896 1233620 1727068 2158835 2467240 3454136 4132627 4317670 4934480 6908272 8265254 8635340 16530508 17270680 20663135 28928389 33061016 34541360 41326270 57856778 66122032 82652540 115713556 144641945 165305080 231427112 289283890 330610160 462854224 578567780 1157135560 2314271120