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2314427500 = 225471121093
BaseRepresentation
bin1000100111110011…
…0101110001101100
312222022000002200001
42021330311301230
514214443140000
61021354114044
7111232211020
oct21174656154
95868002601
102314427500
11a88485700
1254711b924
132ab657038
1417d546380
15d82c146a
hex89f35c6c

2314427500 has 180 divisors, whose sum is σ = 6363675472. Its totient is φ = 720720000.

The previous prime is 2314427477. The next prime is 2314427503. The reversal of 2314427500 is 57244132.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (2314427503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2116954 + ... + 2118046.

Almost surely, 22314427500 is an apocalyptic number.

2314427500 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 2314427500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181837736).

2314427500 is an abundant number, since it is smaller than the sum of its proper divisors (4049247972).

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

2314427500 is a wasteful number, since it uses less digits than its factorization.

2314427500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2314427500 is about 48108.4971704584. The cubic root of 2314427500 is about 1322.7604269849.

The spelling of 2314427500 in words is "two billion, three hundred fourteen million, four hundred twenty-seven thousand, five hundred".