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2331415140 = 22351931371783
BaseRepresentation
bin1000101011110110…
…1001001001100100
320000110222011022220
42022331221021210
514233320241030
61023202152340
7111526462455
oct21275511144
96013864286
102331415140
11a9702877a
125509526b0
132b20242b2
141818c912c
15d9a29a10
hex8af69264

2331415140 has 192 divisors, whose sum is σ = 7288995840. Its totient is φ = 554273280.

The previous prime is 2331415133. The next prime is 2331415157. The reversal of 2331415140 is 415141332.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2331415140.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1306689 + ... + 1308471.

It is an arithmetic number, because the mean of its divisors is an integer number (37963520).

Almost surely, 22331415140 is an apocalyptic number.

2331415140 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 2331415140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644497920).

2331415140 is an abundant number, since it is smaller than the sum of its proper divisors (4957580700).

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

2331415140 is a wasteful number, since it uses less digits than its factorization.

2331415140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1880 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2331415140 is about 48284.7298843019. The cubic root of 2331415140 is about 1325.9888457984.

Adding to 2331415140 its reverse (415141332), we get a palindrome (2746556472).

The spelling of 2331415140 in words is "two billion, three hundred thirty-one million, four hundred fifteen thousand, one hundred forty".