Search a number
-
+
212211224300 = 22525693729547
BaseRepresentation
bin1100010110100011000…
…1100100111011101100
3202021202100212011010002
43011220301210323230
511434102033134200
6241253303003432
721221535434015
oct3055061447354
9667670764102
10212211224300
1181aa8781809
1235165139578
131701c16ab9a
14a3b1ba400c
1557c0519bd5
hex3168c64eec

212211224300 has 36 divisors (see below), whose sum is σ = 461307792120. Its totient is φ = 84735285120.

The previous prime is 212211224297. The next prime is 212211224321. The reversal of 212211224300 is 3422112212.

212211224300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 1807874 + ... + 1921673.

Almost surely, 2212211224300 is an apocalyptic number.

212211224300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211224300 is an abundant number, since it is smaller than the sum of its proper divisors (249096567820).

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

212211224300 is a wasteful number, since it uses less digits than its factorization.

212211224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3730130 (or 3730123 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212211224300 its reverse (3422112212), we get a palindrome (215633336512).

It can be divided in two parts, 2122112 and 24300, that added together give a palindrome (2146412).

The spelling of 212211224300 in words is "two hundred twelve billion, two hundred eleven million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 569 1138 2276 2845 5690 11380 14225 28450 56900 3729547 7459094 14918188 18647735 37295470 74590940 93238675 186477350 372954700 2122112243 4244224486 8488448972 10610561215 21221122430 42442244860 53052806075 106105612150 212211224300