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2300424000 = 26353713693
BaseRepresentation
bin1000100100011101…
…1010111101000000
312221022122122110220
42021013122331000
514202402032000
61020134023040
7111002165340
oct21107327500
95838578426
102300424000
11a80590666
125424a7a80
132a8793144
1417b73cd20
15d6e571a0
hex891daf40

2300424000 has 224 divisors, whose sum is σ = 8681776896. Its totient is φ = 525772800.

The previous prime is 2300423947. The next prime is 2300424001. The reversal of 2300424000 is 4240032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300424001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161154 + ... + 174846.

Almost surely, 22300424000 is an apocalyptic number.

2300424000 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 2300424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4340888448).

2300424000 is an abundant number, since it is smaller than the sum of its proper divisors (6381352896).

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

2300424000 is a wasteful number, since it uses less digits than its factorization.

2300424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13730 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2300424000 is about 47962.7355349963. The cubic root of 2300424000 is about 1320.0872302317.

Adding to 2300424000 its reverse (4240032), we get a palindrome (2304664032).

The spelling of 2300424000 in words is "two billion, three hundred million, four hundred twenty-four thousand".