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2023113200 = 245210747269
BaseRepresentation
bin111100010010110…
…0100000111110000
312012222211210120112
41320211210013300
513120404110300
6532430200452
7101064115133
oct17045440760
95188753515
102023113200
11948aa3989
12485653128
132631aa804
1415299421a
15bc92ae35
hex789641f0

2023113200 has 60 divisors (see below), whose sum is σ = 4906058760. Its totient is φ = 801665280.

The previous prime is 2023113193. The next prime is 2023113229. The reversal of 2023113200 is 23113202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19166 + ... + 66434.

It is an arithmetic number, because the mean of its divisors is an integer number (81767646).

Almost surely, 22023113200 is an apocalyptic number.

2023113200 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 2023113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2453029380).

2023113200 is an abundant number, since it is smaller than the sum of its proper divisors (2882945560).

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

2023113200 is a wasteful number, since it uses less digits than its factorization.

2023113200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47394 (or 47383 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2023113200 is about 44979.0306698577. The cubic root of 2023113200 is about 1264.7559403553.

Adding to 2023113200 its reverse (23113202), we get a palindrome (2046226402).

The spelling of 2023113200 in words is "two billion, twenty-three million, one hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 200 214 400 428 535 856 1070 1712 2140 2675 4280 5350 8560 10700 21400 42800 47269 94538 189076 236345 378152 472690 756304 945380 1181725 1890760 2363450 3781520 4726900 5057783 9453800 10115566 18907600 20231132 25288915 40462264 50577830 80924528 101155660 126444575 202311320 252889150 404622640 505778300 1011556600 2023113200