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2300322000 = 243532379211
BaseRepresentation
bin1000100100011100…
…0010000011010000
312221022110110120010
42021013002003100
514202340301000
61020131514520
7111001262064
oct21107020320
95838413503
102300322000
11a80520a69
12542458a40
132a87588a2
1417b713aa4
15d6e36d50
hex891c20d0

2300322000 has 320 divisors, whose sum is σ = 7873781760. Its totient is φ = 576576000.

The previous prime is 2300321957. The next prime is 2300322041. The reversal of 2300322000 is 2230032.

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 63 ways as a sum of consecutive naturals, for example, 10901895 + ... + 10902105.

It is an arithmetic number, because the mean of its divisors is an integer number (24605568).

Almost surely, 22300322000 is an apocalyptic number.

2300322000 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 2300322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936890880).

2300322000 is an abundant number, since it is smaller than the sum of its proper divisors (5573459760).

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

2300322000 is a wasteful number, since it uses less digits than its factorization.

2300322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 2300322000 is about 47961.6721977039. The cubic root of 2300322000 is about 1320.0677192071.

Adding to 2300322000 its reverse (2230032), we get a palindrome (2302552032).

The spelling of 2300322000 in words is "two billion, three hundred million, three hundred twenty-two thousand".