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2220130303200 = 253252308351431
BaseRepresentation
bin100000010011101010000…
…100111111110011100000
321212020112200211220002200
4200103222010333303200
5242333311324200300
64415525213213200
7316253620131465
oct40235204776340
97766480756080
102220130303200
1178660874a7a7
122ba339191200
13131485251954
147965229566c
153cb3d85b200
hex204ea13fce0

2220130303200 has 108 divisors (see below), whose sum is σ = 7828734507048. Its totient is φ = 592034745600.

The previous prime is 2220130303187. The next prime is 2220130303219. The reversal of 2220130303200 is 23030310222.

It is a happy number.

2220130303200 is a `hidden beast` number, since 22 + 20 + 1 + 303 + 0 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 154168516 + ... + 154182915.

Almost surely, 22220130303200 is an apocalyptic number.

2220130303200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2220130303200 is an abundant number, since it is smaller than the sum of its proper divisors (5608604203848).

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

2220130303200 is a wasteful number, since it uses less digits than its factorization.

2220130303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308351457 (or 308351441 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2220130303200 its reverse (23030310222), we get a palindrome (2243160613422).

The spelling of 2220130303200 in words is "two trillion, two hundred twenty billion, one hundred thirty million, three hundred three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1200 1440 1800 2400 3600 7200 308351431 616702862 925054293 1233405724 1541757155 1850108586 2466811448 2775162879 3083514310 3700217172 4625271465 4933622896 5550325758 6167028620 7400434344 7708785775 9250542930 9867245792 11100651516 12334057240 13875814395 14800868688 15417571550 18501085860 22201303032 23126357325 24668114480 27751628790 29601737376 30835143100 37002171720 44402606064 46252714650 49336228960 55503257580 61670286200 69379071975 74004343440 88805212128 92505429300 111006515160 123340572400 138758143950 148008686880 185010858600 222013030320 246681144800 277516287900 370021717200 444026060640 555032575800 740043434400 1110065151600 2220130303200