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2023000320 = 283511471019
BaseRepresentation
bin111100010010100…
…1000100100000000
312012222122001201210
41320211020210000
513120342002240
6532423530120
7101063135055
oct17045104400
95188561653
102023000320
11948a270a0
124855b9940
1326316b313
1415296502c
15bc907780
hex78948900

2023000320 has 288 divisors, whose sum is σ = 7205345280. Its totient is φ = 479518720.

The previous prime is 2023000283. The next prime is 2023000327. The reversal of 2023000320 is 230003202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2023000296 and 2023000305.

It is not an unprimeable number, because it can be changed into a prime (2023000327) 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, 1984771 + ... + 1985789.

It is an arithmetic number, because the mean of its divisors is an integer number (25018560).

Almost surely, 22023000320 is an apocalyptic number.

2023000320 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 2023000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602672640).

2023000320 is an abundant number, since it is smaller than the sum of its proper divisors (5182344960).

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

2023000320 is a wasteful number, since it uses less digits than its factorization.

2023000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

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

The square root of 2023000320 is about 44977.7758454106. The cubic root of 2023000320 is about 1264.7324174820.

Adding to 2023000320 its reverse (230003202), we get a palindrome (2253003522).

The spelling of 2023000320 in words is "two billion, twenty-three million, three hundred twenty", and thus it is an aban number.