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2312163840 = 29357411049
BaseRepresentation
bin1000100111010000…
…1101001000000000
312222010202002111210
42021310031020000
514213403220330
61021233410120
7111204032310
oct21164151000
95863662453
102312163840
11a87179a08
12546409940
132ab0438ac
1417d117440
15d7ec58b0
hex89d0d200

2312163840 has 320 divisors, whose sum is σ = 8661945600. Its totient is φ = 515112960.

The previous prime is 2312163839. The next prime is 2312163853. The reversal of 2312163840 is 483612132.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×23121638403 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2312163798 and 2312163807.

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, 2203636 + ... + 2204684.

It is an arithmetic number, because the mean of its divisors is an integer number (27068580).

Almost surely, 22312163840 is an apocalyptic number.

2312163840 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 2312163840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330972800).

2312163840 is an abundant number, since it is smaller than the sum of its proper divisors (6349781760).

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

2312163840 is a wasteful number, since it uses less digits than its factorization.

2312163840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2312163840 is about 48084.9648019004. The cubic root of 2312163840 is about 1322.3290378546.

Adding to 2312163840 its reverse (483612132), we get a palindrome (2795775972).

The spelling of 2312163840 in words is "two billion, three hundred twelve million, one hundred sixty-three thousand, eight hundred forty".