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2314000220 = 2257173073167
BaseRepresentation
bin1000100111101100…
…1101011101011100
312222021012101112212
42021323031131130
514214341001340
61021341015552
7111225451220
oct21173153534
95867171485
102314000220
11a88213684
12546b545b8
132ab5376cc
1417d474780
15d8239a65
hex89ecd75c

2314000220 has 96 divisors (see below), whose sum is σ = 5901299712. Its totient is φ = 744035328.

The previous prime is 2314000201. The next prime is 2314000229. The reversal of 2314000220 is 220004132.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2314000195 and 2314000204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314000229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729077 + ... + 732243.

It is an arithmetic number, because the mean of its divisors is an integer number (61471872).

Almost surely, 22314000220 is an apocalyptic number.

2314000220 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 2314000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950649856).

2314000220 is an abundant number, since it is smaller than the sum of its proper divisors (3587299492).

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

2314000220 is a wasteful number, since it uses less digits than its factorization.

2314000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507 (or 3505 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2314000220 is about 48104.0561699323. The cubic root of 2314000220 is about 1322.6790211283.

Adding to 2314000220 its reverse (220004132), we get a palindrome (2534004352).

The spelling of 2314000220 in words is "two billion, three hundred fourteen million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 307 340 476 595 614 1190 1228 1535 2149 2380 3070 3167 4298 5219 6140 6334 8596 10438 10745 12668 15835 20876 21490 22169 26095 31670 36533 42980 44338 52190 53839 63340 73066 88676 104380 107678 110845 146132 182665 215356 221690 269195 365330 376873 443380 538390 730660 753746 972269 1076780 1507492 1884365 1944538 3768730 3889076 4861345 6805883 7537460 9722690 13611766 16528573 19445380 27223532 33057146 34029415 66114292 68058830 82642865 115700011 136117660 165285730 231400022 330571460 462800044 578500055 1157000110 2314000220