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2023114000 = 24534312347
BaseRepresentation
bin111100010010110…
…0100010100010000
312012222211211200011
41320211210110100
513120404122000
6532430204304
7101064120355
oct17045442420
95188754604
102023114000
11948aa4546
12485653694
132631aac9b
1415299462c
15bc92b2ba
hex78964510

2023114000 has 80 divisors (see below), whose sum is σ = 4905328896. Its totient is φ = 807024000.

The previous prime is 2023113997. The next prime is 2023114007. The reversal of 2023114000 is 4113202.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2023114007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860827 + ... + 863173.

Almost surely, 22023114000 is an apocalyptic number.

2023114000 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 2023114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452664448).

2023114000 is an abundant number, since it is smaller than the sum of its proper divisors (2882214896).

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

2023114000 is a wasteful number, since it uses less digits than its factorization.

2023114000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2785 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2023114000 is about 44979.0395628897. The cubic root of 2023114000 is about 1264.7561070628.

Adding to 2023114000 its reverse (4113202), we get a palindrome (2027227202).

The spelling of 2023114000 in words is "two billion, twenty-three million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 431 500 862 1000 1724 2000 2155 2347 3448 4310 4694 6896 8620 9388 10775 11735 17240 18776 21550 23470 34480 37552 43100 46940 53875 58675 86200 93880 107750 117350 172400 187760 215500 234700 293375 431000 469400 586750 862000 938800 1011557 1173500 2023114 2347000 4046228 4694000 5057785 8092456 10115570 16184912 20231140 25288925 40462280 50577850 80924560 101155700 126444625 202311400 252889250 404622800 505778500 1011557000 2023114000