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2314200200 = 2352132338699
BaseRepresentation
bin1000100111101111…
…1110010010001000
312222021120112212112
42021323332102020
514214413401300
61021345201452
7111230243234
oct21173762210
95867515775
102314200200
11a8833a954
12547030288
132ab5a7740
1417d4c75c4
15d8278e35
hex89efe488

2314200200 has 96 divisors (see below), whose sum is σ = 6046488000. Its totient is φ = 817301760.

The previous prime is 2314200149. The next prime is 2314200221. The reversal of 2314200200 is 20024132.

2314200200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 40451 + ... + 79149.

It is an arithmetic number, because the mean of its divisors is an integer number (62984250).

Almost surely, 22314200200 is an apocalyptic number.

2314200200 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 2314200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023244000).

2314200200 is an abundant number, since it is smaller than the sum of its proper divisors (3732287800).

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

2314200200 is a wasteful number, since it uses less digits than its factorization.

2314200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38751 (or 38742 counting only the distinct ones).

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

The square root of 2314200200 is about 48106.1347439181. The cubic root of 2314200200 is about 1322.7171227857.

Adding to 2314200200 its reverse (20024132), we get a palindrome (2334224332).

The spelling of 2314200200 in words is "two billion, three hundred fourteen million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 130 184 200 230 260 299 325 460 520 575 598 650 920 1150 1196 1300 1495 2300 2392 2600 2990 4600 5980 7475 11960 14950 29900 38699 59800 77398 154796 193495 309592 386990 503087 773980 890077 967475 1006174 1547960 1780154 1934950 2012348 2515435 3560308 3869900 4024696 4450385 5030870 7120616 7739800 8900770 10061740 11571001 12577175 17801540 20123480 22251925 23142002 25154350 35603080 44503850 46284004 50308700 57855005 89007700 92568008 100617400 115710010 178015400 231420020 289275025 462840040 578550050 1157100100 2314200200