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2312815140 = 2233523316007
BaseRepresentation
bin1000100111011010…
…1100001000100100
312222011222011221000
42021312230020210
514214040041030
61021255353300
7111212414166
oct21166541044
95864864830
102312815140
11a87584279
12546682830
132ab21118c
1417d246936
15d80a3860
hex89dac224

2312815140 has 192 divisors, whose sum is σ = 7751761920. Its totient is φ = 570810240.

The previous prime is 2312815123. The next prime is 2312815177. The reversal of 2312815140 is 415182132.

2312815140 is a `hidden beast` number, since 23 + 128 + 1 + 514 + 0 = 666.

It is a super-2 number, since 2×23128151402 = 10698227743626439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382017 + ... + 388023.

It is an arithmetic number, because the mean of its divisors is an integer number (40373760).

Almost surely, 22312815140 is an apocalyptic number.

2312815140 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 2312815140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3875880960).

2312815140 is an abundant number, since it is smaller than the sum of its proper divisors (5438946780).

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

2312815140 is a wasteful number, since it uses less digits than its factorization.

2312815140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6079 (or 6071 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2312815140 is about 48091.7367122461. The cubic root of 2312815140 is about 1322.4531859268.

Adding to 2312815140 its reverse (415182132), we get a palindrome (2727997272).

The spelling of 2312815140 in words is "two billion, three hundred twelve million, eight hundred fifteen thousand, one hundred forty".