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2023020000 = 25325411239
BaseRepresentation
bin111100010010100…
…1101010111100000
312012222200001201200
41320211031113200
513120343120000
6532424201200
7101063246331
oct17045152740
95188601650
102023020000
11948a3a961
12485609200
13263177271
1415296c288
15bc90d500
hex7894d5e0

2023020000 has 180 divisors, whose sum is σ = 7189542360. Its totient is φ = 539424000.

The previous prime is 2023019987. The next prime is 2023020023. The reversal of 2023020000 is 203202.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 174381 + ... + 185619.

It is an arithmetic number, because the mean of its divisors is an integer number (39941902).

Almost surely, 22023020000 is an apocalyptic number.

2023020000 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 2023020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594771180).

2023020000 is an abundant number, since it is smaller than the sum of its proper divisors (5166522360).

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

2023020000 is a wasteful number, since it uses less digits than its factorization.

2023020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11275 (or 11249 counting only the distinct ones).

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

The square root of 2023020000 is about 44977.9946195915. The cubic root of 2023020000 is about 1264.7365186271.

Adding to 2023020000 its reverse (203202), we get a palindrome (2023223202).

The spelling of 2023020000 in words is "two billion, twenty-three million, twenty thousand".