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2220313200 = 243527264323
BaseRepresentation
bin1000010001010111…
…0100101001110000
312201201220121010020
42010111310221300
514021400010300
61004153003440
7106010231220
oct20425645160
95651817106
102220313200
11a3a344196
1251b6b3580
13294cc44c1
14170c48080
15cedd08a0
hex84574a70

2220313200 has 120 divisors (see below), whose sum is σ = 8128491648. Its totient is φ = 507498240.

The previous prime is 2220313181. The next prime is 2220313223. The reversal of 2220313200 is 23130222.

It is a tau number, because it is divible by the number of its divisors (120).

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 2220313200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123762 + ... + 140561.

Almost surely, 22220313200 is an apocalyptic number.

2220313200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220313200 is an abundant number, since it is smaller than the sum of its proper divisors (5908178448).

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

2220313200 is a wasteful number, since it uses less digits than its factorization.

2220313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264351 (or 264340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2220313200 is about 47120.1994902399. The cubic root of 2220313200 is about 1304.5820948682.

Adding to 2220313200 its reverse (23130222), we get a palindrome (2243443422).

The spelling of 2220313200 in words is "two billion, two hundred twenty million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 264323 528646 792969 1057292 1321615 1585938 1850261 2114584 2643230 3171876 3700522 3964845 4229168 5286460 5550783 6343752 6608075 7401044 7929690 9251305 10572920 11101566 12687504 13216150 14802088 15859380 18502610 19824225 21145840 22203132 26432300 27753915 29604176 31718760 37005220 39648450 44406264 46256525 52864600 55507830 63437520 74010440 79296900 88812528 92513050 105729200 111015660 138769575 148020880 158593800 185026100 222031320 277539150 317187600 370052200 444062640 555078300 740104400 1110156600 2220313200