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2302140000 = 25354173761
BaseRepresentation
bin1000100100110111…
…1101111001100000
312221102212211101110
42021031331321200
514203321440000
61020234503320
7111022603266
oct21115757140
95842784343
102302140000
11a81552946
12542b94b40
132a8c44224
1417ba68436
15d7195850
hex8937de60

2302140000 has 480 divisors, whose sum is σ = 8346403296. Its totient is φ = 552960000.

The previous prime is 2302139971. The next prime is 2302140013. The reversal of 2302140000 is 412032.

2302140000 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 tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739970 + ... + 37740030.

Almost surely, 22302140000 is an apocalyptic number.

2302140000 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 2302140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173201648).

2302140000 is an abundant number, since it is smaller than the sum of its proper divisors (6044263296).

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

2302140000 is a wasteful number, since it uses less digits than its factorization.

2302140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2302140000 is about 47980.6210881018. The cubic root of 2302140000 is about 1320.4153880933.

Adding to 2302140000 its reverse (412032), we get a palindrome (2302552032).

The spelling of 2302140000 in words is "two billion, three hundred two million, one hundred forty thousand".