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2023308000 = 253253723137
BaseRepresentation
bin111100010011001…
…0011101011100000
312020000012200210100
41320212103223200
513120431324000
6532434302400
7101065556100
oct17046235340
95200180710
102023308000
1194911727a
12485727a00
1326324838c
14152a05200
15bc968a00
hex78993ae0

2023308000 has 864 divisors, whose sum is σ = 8855578368. Its totient is φ = 435456000.

The previous prime is 2023307987. The next prime is 2023308011. The reversal of 2023308000 is 8033202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54683982 + ... + 54684018.

It is an arithmetic number, because the mean of its divisors is an integer number (10249512).

Almost surely, 22023308000 is an apocalyptic number.

2023308000 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 2023308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427789184).

2023308000 is an abundant number, since it is smaller than the sum of its proper divisors (6832270368).

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

2023308000 is a wasteful number, since it uses less digits than its factorization.

2023308000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2023308000 is about 44981.1960712474. The cubic root of 2023308000 is about 1264.7965323416.

The spelling of 2023308000 in words is "two billion, twenty-three million, three hundred eight thousand".