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2313312540 = 22357211233307
BaseRepresentation
bin1000100111100010…
…0101100100011100
312222012220110020020
42021320211210130
514214202000130
61021314152140
7111216555300
oct21170454434
95865813206
102313312540
11a87893a50
12546882650
132ab3566b6
1417d335d00
15d8150e10
hex89e2591c

2313312540 has 288 divisors, whose sum is σ = 8281937664. Its totient is φ = 477066240.

The previous prime is 2313312509. The next prime is 2313312583. The reversal of 2313312540 is 452133132.

It is a self number, because there is not a number n which added to its sum of digits gives 2313312540.

It is a congruent number.

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, 7535067 + ... + 7535373.

It is an arithmetic number, because the mean of its divisors is an integer number (28756728).

Almost surely, 22313312540 is an apocalyptic number.

2313312540 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 2313312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140968832).

2313312540 is an abundant number, since it is smaller than the sum of its proper divisors (5968625124).

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

2313312540 is a wasteful number, since it uses less digits than its factorization.

2313312540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2313312540 is about 48096.9078008140. The cubic root of 2313312540 is about 1322.5479825311.

Adding to 2313312540 its reverse (452133132), we get a palindrome (2765445672).

The spelling of 2313312540 in words is "two billion, three hundred thirteen million, three hundred twelve thousand, five hundred forty".