Search a number
-
+
20233021200 = 243527349157
BaseRepresentation
bin10010110101111110…
…110110011100010000
31221020001222222020120
4102311332312130100
5312414123134300
613143411510240
71314251562000
oct226576663420
957201888216
1020233021200
118643016327
123b07bb8380
131ba5a540c2
14d9d222000
157d64493a0
hex4b5fb6710

20233021200 has 240 divisors, whose sum is σ = 75585340800. Its totient is φ = 4624596480.

The previous prime is 20233021199. The next prime is 20233021229. The reversal of 20233021200 is 212033202.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20233021200.

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 47 ways as a sum of consecutive naturals, for example, 387022 + ... + 436178.

It is an arithmetic number, because the mean of its divisors is an integer number (314938920).

Almost surely, 220233021200 is an apocalyptic number.

20233021200 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 20233021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37792670400).

20233021200 is an abundant number, since it is smaller than the sum of its proper divisors (55352319600).

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

20233021200 is a wasteful number, since it uses less digits than its factorization.

20233021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49199 (or 49174 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 20233021200 its reverse (212033202), we get a palindrome (20445054402).

The spelling of 20233021200 in words is "twenty billion, two hundred thirty-three million, twenty-one thousand, two hundred".