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2023041200 = 24528956827
BaseRepresentation
bin111100010010101…
…0010100010110000
312012222201010210212
41320211102202300
513120344304300
6532424443252
7101063365205
oct17045224260
95188633725
102023041200
11948a54884
12485619528
13263183acb
14152975cac
15bc914935
hex789528b0

2023041200 has 60 divisors (see below), whose sum is σ = 4915053720. Its totient is φ = 800110080.

The previous prime is 2023041133. The next prime is 2023041233. The reversal of 2023041200 is 21403202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7187 + ... + 64013.

It is an arithmetic number, because the mean of its divisors is an integer number (81917562).

Almost surely, 22023041200 is an apocalyptic number.

2023041200 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 2023041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457526860).

2023041200 is an abundant number, since it is smaller than the sum of its proper divisors (2892012520).

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

2023041200 is a wasteful number, since it uses less digits than its factorization.

2023041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56934 (or 56923 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2023041200 is about 44978.2302897746. The cubic root of 2023041200 is about 1264.7409364975.

Adding to 2023041200 its reverse (21403202), we get a palindrome (2044444402).

The spelling of 2023041200 in words is "two billion, twenty-three million, forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 712 890 1424 1780 2225 3560 4450 7120 8900 17800 35600 56827 113654 227308 284135 454616 568270 909232 1136540 1420675 2273080 2841350 4546160 5057603 5682700 10115206 11365400 20230412 22730800 25288015 40460824 50576030 80921648 101152060 126440075 202304120 252880150 404608240 505760300 1011520600 2023041200