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2023002000 = 24335337463
BaseRepresentation
bin111100010010100…
…1000111110010000
312012222122011001000
41320211020332100
513120342031000
6532423542000
7101063143005
oct17045107620
95188564030
102023002000
11948a28388
124855ba900
1326316c006
141529658ac
15bc908000
hex78948f90

2023002000 has 160 divisors (see below), whose sum is σ = 7247036160. Its totient is φ = 539452800.

The previous prime is 2023001983. The next prime is 2023002001. The reversal of 2023002000 is 2003202.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2023002001) 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, 35269 + ... + 72731.

It is an arithmetic number, because the mean of its divisors is an integer number (45293976).

Almost surely, 22023002000 is an apocalyptic number.

2023002000 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 2023002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623518080).

2023002000 is an abundant number, since it is smaller than the sum of its proper divisors (5224034160).

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

2023002000 is a wasteful number, since it uses less digits than its factorization.

2023002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37495 (or 37473 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 2023002000 is about 44977.7945212968. The cubic root of 2023002000 is about 1264.7327675808.

Adding to 2023002000 its reverse (2003202), we get a palindrome (2025005202).

The spelling of 2023002000 in words is "two billion, twenty-three million, two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 90 100 108 120 125 135 144 150 180 200 216 225 240 250 270 300 360 375 400 432 450 500 540 600 675 720 750 900 1000 1080 1125 1200 1350 1500 1800 2000 2160 2250 2700 3000 3375 3600 4500 5400 6000 6750 9000 10800 13500 18000 27000 37463 54000 74926 112389 149852 187315 224778 299704 337167 374630 449556 561945 599408 674334 749260 899112 936575 1011501 1123890 1348668 1498520 1685835 1798224 1873150 2023002 2247780 2697336 2809725 2997040 3371670 3746300 4046004 4495560 4682875 5057505 5394672 5619450 6743340 7492600 8092008 8429175 8991120 9365750 10115010 11238900 13486680 14048625 14985200 16184016 16858350 18731500 20230020 22477800 25287525 26973360 28097250 33716700 37463000 40460040 42145875 44955600 50575050 56194500 67433400 74926000 80920080 84291750 101150100 112389000 126437625 134866800 168583500 202300200 224778000 252875250 337167000 404600400 505750500 674334000 1011501000 2023002000