Search a number
-
+
2120220000 = 25325411779
BaseRepresentation
bin111111001011111…
…1111110101100000
312110202120100001200
41332113333311200
513320234020000
6550215401200
7103353400263
oct17627776540
95422510050
102120220000
11998899738
124b2083200
1327a34a462
14161830cda
15c620d500
hex7e5ffd60

2120220000 has 180 divisors, whose sum is σ = 7534947420. Its totient is φ = 565344000.

The previous prime is 2120219989. The next prime is 2120220023. The reversal of 2120220000 is 220212.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 174111 + ... + 185889.

It is an arithmetic number, because the mean of its divisors is an integer number (41860819).

Almost surely, 22120220000 is an apocalyptic number.

2120220000 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 2120220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767473710).

2120220000 is an abundant number, since it is smaller than the sum of its proper divisors (5414727420).

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

2120220000 is a wasteful number, since it uses less digits than its factorization.

2120220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815 (or 11789 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2120220000 is about 46045.8467182438. The cubic root of 2120220000 is about 1284.6760931196.

Adding to 2120220000 its reverse (220212), we get a palindrome (2120440212).

The spelling of 2120220000 in words is "two billion, one hundred twenty million, two hundred twenty thousand".