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2311400520 = 23325111359761
BaseRepresentation
bin1000100111000101…
…0010110001001000
312222002022022102200
42021301102301020
514213204304040
61021205200200
7111164403012
oct21161226110
95862268380
102311400520
11a867a8470
12546100060
132aab37320
1417cd991b2
15d7dc4630
hex89c52c48

2311400520 has 384 divisors, whose sum is σ = 8986723200. Its totient is φ = 507801600.

The previous prime is 2311400477. The next prime is 2311400551. The reversal of 2311400520 is 250041132.

2311400520 is a `hidden beast` number, since 2 + 3 + 1 + 140 + 0 + 520 = 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 = 2311400493 and 2311400502.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3036940 + ... + 3037700.

It is an arithmetic number, because the mean of its divisors is an integer number (23402925).

Almost surely, 22311400520 is an apocalyptic number.

2311400520 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 2311400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493361600).

2311400520 is an abundant number, since it is smaller than the sum of its proper divisors (6675322680).

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

2311400520 is a wasteful number, since it uses less digits than its factorization.

2311400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2311400520 is about 48077.0269463493. The cubic root of 2311400520 is about 1322.1835073234.

Adding to 2311400520 its reverse (250041132), we get a palindrome (2561441652).

The spelling of 2311400520 in words is "two billion, three hundred eleven million, four hundred thousand, five hundred twenty".