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2314020120 = 2335592111549
BaseRepresentation
bin1000100111101101…
…0010010100011000
312222021020101211220
42021323102110120
514214342120440
61021341252040
7111225563226
oct21173222430
95867211756
102314020120
11a88227625
12546b64020
132ab543799
1417d47bb16
15d82408d0
hex89ed2518

2314020120 has 128 divisors (see below), whose sum is σ = 7097760000. Its totient is φ = 603348480.

The previous prime is 2314020119. The next prime is 2314020139. The reversal of 2314020120 is 210204132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2314020120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1493106 + ... + 1494654.

It is an arithmetic number, because the mean of its divisors is an integer number (55451250).

Almost surely, 22314020120 is an apocalyptic number.

2314020120 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 2314020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548880000).

2314020120 is an abundant number, since it is smaller than the sum of its proper divisors (4783739880).

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

2314020120 is a wasteful number, since it uses less digits than its factorization.

2314020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2314020120 is about 48104.2630127518. The cubic root of 2314020120 is about 1322.6828127207.

Adding to 2314020120 its reverse (210204132), we get a palindrome (2524224252).

The spelling of 2314020120 in words is "two billion, three hundred fourteen million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 211 236 295 354 422 472 590 633 708 844 885 1055 1180 1266 1416 1549 1688 1770 2110 2360 2532 3098 3165 3540 4220 4647 5064 6196 6330 7080 7745 8440 9294 12392 12449 12660 15490 18588 23235 24898 25320 30980 37176 37347 46470 49796 61960 62245 74694 91391 92940 99592 124490 149388 182782 185880 186735 248980 274173 298776 326839 365564 373470 456955 497960 548346 653678 731128 746940 913910 980517 1096692 1307356 1370865 1493880 1634195 1827820 1961034 2193384 2614712 2741730 3268390 3655640 3922068 4902585 5483460 6536780 7844136 9805170 10966920 13073560 19283501 19610340 38567002 39220680 57850503 77134004 96417505 115701006 154268008 192835010 231402012 289252515 385670020 462804024 578505030 771340040 1157010060 2314020120