Search a number
-
+
2331311220 = 223457243683
BaseRepresentation
bin1000101011110100…
…1111110001110100
320000110202212210000
42022331033301310
514233303424340
61023200031300
7111525550500
oct21275176164
96013685700
102331311220
11a96a67697
12550902530
132b1cb8bc4
1418189d300
15d9a08d30
hex8af4fc74

2331311220 has 360 divisors, whose sum is σ = 8718028704. Its totient is φ = 519716736.

The previous prime is 2331311219. The next prime is 2331311273. The reversal of 2331311220 is 221131332.

2331311220 is a `hidden beast` number, since 2 + 331 + 311 + 2 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2331311193 and 2331311202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3412999 + ... + 3413681.

Almost surely, 22331311220 is an apocalyptic number.

2331311220 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 2331311220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4359014352).

2331311220 is an abundant number, since it is smaller than the sum of its proper divisors (6386717484).

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

2331311220 is a wasteful number, since it uses less digits than its factorization.

2331311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2331311220 is about 48283.6537556967. The cubic root of 2331311220 is about 1325.9691440579.

Adding to 2331311220 its reverse (221131332), we get a palindrome (2552442552).

The spelling of 2331311220 in words is "two billion, three hundred thirty-one million, three hundred eleven thousand, two hundred twenty".