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2300256000 = 28325372163
BaseRepresentation
bin1000100100011011…
…0001111100000000
312221022100010000200
42021012301330000
514202331143000
61020130245200
7111000565500
oct21106617400
95838303020
102300256000
11a80486419
12542426800
132a8734833
1417b6d7a00
15d6e22500
hex891b1f00

2300256000 has 648 divisors, whose sum is σ = 9687407184. Its totient is φ = 522547200.

The previous prime is 2300255987. The next prime is 2300256001. The reversal of 2300256000 is 6520032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300256001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14111919 + ... + 14112081.

Almost surely, 22300256000 is an apocalyptic number.

2300256000 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 2300256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843703592).

2300256000 is an abundant number, since it is smaller than the sum of its proper divisors (7387151184).

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

2300256000 is a wasteful number, since it uses less digits than its factorization.

2300256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2300256000 is about 47960.9841433639. The cubic root of 2300256000 is about 1320.0550941192.

Adding to 2300256000 its reverse (6520032), we get a palindrome (2306776032).

The spelling of 2300256000 in words is "two billion, three hundred million, two hundred fifty-six thousand".