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2313505740 = 22357131929769
BaseRepresentation
bin1000100111100101…
…0100101111001100
312222020021021020210
42021321110233030
514214224140430
61021322242420
7111221321460
oct21171245714
95866237223
102313505740
11a87a06117
12546956410
132ab3c3610
1417d3864a0
15d818d2b0
hex89e54bcc

2313505740 has 384 divisors, whose sum is σ = 8692992000. Its totient is φ = 445906944.

The previous prime is 2313505739. The next prime is 2313505751. The reversal of 2313505740 is 475053132.

2313505740 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2313505698 and 2313505707.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3008076 + ... + 3008844.

It is an arithmetic number, because the mean of its divisors is an integer number (22638000).

Almost surely, 22313505740 is an apocalyptic number.

2313505740 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 2313505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346496000).

2313505740 is an abundant number, since it is smaller than the sum of its proper divisors (6379486260).

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

2313505740 is a wasteful number, since it uses less digits than its factorization.

2313505740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 2313505740 is about 48098.9162040061. The cubic root of 2313505740 is about 1322.5847997435.

Adding to 2313505740 its reverse (475053132), we get a palindrome (2788558872).

The spelling of 2313505740 in words is "two billion, three hundred thirteen million, five hundred five thousand, seven hundred forty".