Search a number
-
+
201230220000 = 2535423145819
BaseRepresentation
bin1011101101101001000…
…0010111101011100000
3201020102002011100002010
42323122100113223200
511244104414020000
6232235513552520
720352446435145
oct2733220275340
9636362140063
10201230220000
1178383238747
1232bbb715740
1315c8c1647c4
149a4d63a3cc
15537b47dd50
hex2eda417ae0

201230220000 has 240 divisors, whose sum is σ = 688779020160. Its totient is φ = 51327936000.

The previous prime is 201230219909. The next prime is 201230220019. The reversal of 201230220000 is 22032102.

201230220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 39 ways as a sum of consecutive naturals, for example, 1307091 + ... + 1452909.

It is an arithmetic number, because the mean of its divisors is an integer number (2869912584).

Almost surely, 2201230220000 is an apocalyptic number.

201230220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201230220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344389510080).

201230220000 is an abundant number, since it is smaller than the sum of its proper divisors (487548800160).

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

201230220000 is a wasteful number, since it uses less digits than its factorization.

201230220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145875 (or 145852 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 201230220000 its reverse (22032102), we get a palindrome (201252252102).

It can be divided in two parts, 2012302 and 20000, that added together give a palindrome (2032302).

The spelling of 201230220000 in words is "two hundred one billion, two hundred thirty million, two hundred twenty thousand".