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2231041120 = 255711473853
BaseRepresentation
bin1000010011111010…
…1111110001100000
312202111002122001121
42010332233301200
514032121303440
61005214542024
7106200352030
oct20476576140
95674078047
102231041120
11a45401240
12523207914
132972ac499
1417243b8c0
15d0cee34a
hex84fafc60

2231041120 has 192 divisors, whose sum is σ = 6712989696. Its totient is φ = 680417280.

The previous prime is 2231041093. The next prime is 2231041181. The reversal of 2231041120 is 211401322.

2231041120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×22310411203 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2231041094 and 2231041103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 577114 + ... + 580966.

It is an arithmetic number, because the mean of its divisors is an integer number (34963488).

Almost surely, 22231041120 is an apocalyptic number.

2231041120 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 2231041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356494848).

2231041120 is an abundant number, since it is smaller than the sum of its proper divisors (4481948576).

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

2231041120 is a wasteful number, since it uses less digits than its factorization.

2231041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2231041120 is about 47233.8979970953. The cubic root of 2231041120 is about 1306.6798427567.

Adding to 2231041120 its reverse (211401322), we get a palindrome (2442442442).

The spelling of 2231041120 in words is "two billion, two hundred thirty-one million, forty-one thousand, one hundred twenty".