Search a number
-
+
2023311200 = 255210492411
BaseRepresentation
bin111100010011001…
…0100011101100000
312020000012212011212
41320212110131200
513120431424300
6532434325252
7101065601321
oct17046243540
95200185155
102023311200
11949119719
12485729828
13263249981
14152a06448
15bc969935
hex78994760

2023311200 has 72 divisors (see below), whose sum is σ = 4946167800. Its totient is φ = 808217600.

The previous prime is 2023311181. The next prime is 2023311229. The reversal of 2023311200 is 21133202.

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, 837995 + ... + 840405.

It is an arithmetic number, because the mean of its divisors is an integer number (68696775).

Almost surely, 22023311200 is an apocalyptic number.

2023311200 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 2023311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473083900).

2023311200 is an abundant number, since it is smaller than the sum of its proper divisors (2922856600).

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

2023311200 is a wasteful number, since it uses less digits than its factorization.

2023311200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3480 (or 3467 counting only the distinct ones).

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

The square root of 2023311200 is about 44981.2316416525. The cubic root of 2023311200 is about 1264.7971991286.

Adding to 2023311200 its reverse (21133202), we get a palindrome (2044444402).

The spelling of 2023311200 in words is "two billion, twenty-three million, three hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1049 2098 2411 4196 4822 5245 8392 9644 10490 12055 16784 19288 20980 24110 26225 33568 38576 41960 48220 52450 60275 77152 83920 96440 104900 120550 167840 192880 209800 241100 385760 419600 482200 839200 964400 1928800 2529139 5058278 10116556 12645695 20233112 25291390 40466224 50582780 63228475 80932448 101165560 126456950 202331120 252913900 404662240 505827800 1011655600 2023311200