Search a number
-
+
2221230301200 = 243252617008417
BaseRepresentation
bin100000010100101011101…
…001001010000000010000
321212100101100200120200100
4200110223221022000100
5242343034424114300
64420230310052400
7316323105015651
oct40245351120020
97770340616610
102221230301200
11787022663559
122ba5a564a100
131315cc101741
14797183d3528
153cba51e1700
hex2052ba4a010

2221230301200 has 90 divisors (see below), whose sum is σ = 7708286166074. Its totient is φ = 592328079360.

The previous prime is 2221230301181. The next prime is 2221230301207. The reversal of 2221230301200 is 21030321222.

2221230301200 is a `hidden beast` number, since 222 + 123 + 0 + 301 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 294875064576 + 1926355236624 = 543024^2 + 1387932^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is not an unprimeable number, because it can be changed into a prime (2221230301207) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 308500609 + ... + 308507808.

Almost surely, 22221230301200 is an apocalyptic number.

2221230301200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221230301200 is an abundant number, since it is smaller than the sum of its proper divisors (5487055864874).

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

2221230301200 is a wasteful number, since it uses less digits than its factorization.

2221230301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617008441 (or 617008427 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2221230301200 its reverse (21030321222), we get a palindrome (2242260622422).

The spelling of 2221230301200 in words is "two trillion, two hundred twenty-one billion, two hundred thirty million, three hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 617008417 1234016834 1851025251 2468033668 3085042085 3702050502 4936067336 5553075753 6170084170 7404101004 9255126255 9872134672 11106151506 12340168340 14808202008 15425210425 18510252510 22212303012 24680336680 27765378765 29616404016 30850420850 37020505020 44424606024 46275631275 49360673360 55530757530 61700841700 74041010040 88849212048 92551262550 111061515060 123401683400 138826893825 148082020080 185102525100 222123030120 246803366800 277653787650 370205050200 444246060240 555307575300 740410100400 1110615150600 2221230301200