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2230141341200 = 24526569848737
BaseRepresentation
bin100000011100111110110…
…010000100111000010000
321220012101101101022111212
4200130332302010320100
5243014312140404300
64424302432355252
7320056660425263
oct40347662047020
97805341338455
102230141341200
1178a885713823
123002719a5b28
131323bc305286
1479d21a8ccda
153d027699935
hex2073ec84e10

2230141341200 has 60 divisors (see below), whose sum is σ = 5358736522260. Its totient is φ = 891919687680.

The previous prime is 2230141341193. The next prime is 2230141341217. The reversal of 2230141341200 is 21431410322.

It can be written as a sum of positive squares in 6 ways, for example, as 82052456704 + 2148088884496 = 286448^2 + 1465636^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2203232 + ... + 3051968.

It is an arithmetic number, because the mean of its divisors is an integer number (89312275371).

Almost surely, 22230141341200 is an apocalyptic number.

2230141341200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230141341200 is an abundant number, since it is smaller than the sum of its proper divisors (3128595181060).

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

2230141341200 is a wasteful number, since it uses less digits than its factorization.

2230141341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855324 (or 855313 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2230141341200 its reverse (21431410322), we get a palindrome (2251572751522).

The spelling of 2230141341200 in words is "two trillion, two hundred thirty billion, one hundred forty-one million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 6569 13138 26276 32845 52552 65690 105104 131380 164225 262760 328450 525520 656900 848737 1313800 1697474 2627600 3394948 4243685 6789896 8487370 13579792 16974740 21218425 33949480 42436850 67898960 84873700 169747400 339494800 5575353353 11150706706 22301413412 27876766765 44602826824 55753533530 89205653648 111507067060 139383833825 223014134120 278767667650 446028268240 557535335300 1115070670600 2230141341200