Search a number
-
+
2033203300 = 22521973107137
BaseRepresentation
bin111100100110000…
…0011100001100100
312020200211102120221
41321030003201210
513131000001200
6533430334124
7101245641262
oct17114034144
95220742527
102033203300
11953765807
12488aba344
1326530139b
1415405d432
15bd77091a
hex79303864

2033203300 has 144 divisors (see below), whose sum is σ = 4786568640. Its totient is φ = 747325440.

The previous prime is 2033203267. The next prime is 2033203301. The reversal of 2033203300 is 33023302.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2033203301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14840832 + ... + 14840968.

It is an arithmetic number, because the mean of its divisors is an integer number (33240060).

Almost surely, 22033203300 is an apocalyptic number.

2033203300 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 2033203300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2393284320).

2033203300 is an abundant number, since it is smaller than the sum of its proper divisors (2753365340).

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

2033203300 is a wasteful number, since it uses less digits than its factorization.

2033203300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 2033203300 is about 45091.0556540873. The cubic root of 2033203300 is about 1266.8550743135.

Adding to 2033203300 its reverse (33023302), we get a palindrome (2066226602).

It can be divided in two parts, 2033 and 203300, that multiplied together give a square (413308900 = 203302).

The spelling of 2033203300 in words is "two billion, thirty-three million, two hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 73 76 95 100 107 137 146 190 214 274 292 365 380 428 475 535 548 685 730 950 1070 1370 1387 1460 1825 1900 2033 2140 2603 2675 2740 2774 3425 3650 4066 5206 5350 5548 6850 6935 7300 7811 8132 10001 10165 10412 10700 13015 13700 13870 14659 15622 20002 20330 26030 27740 29318 31244 34675 39055 40004 40660 50005 50825 52060 58636 65075 69350 73295 78110 100010 101650 130150 138700 146590 148409 156220 190019 195275 200020 203300 250025 260300 278521 293180 296818 366475 380038 390550 500050 557042 593636 732950 742045 760076 781100 950095 1000100 1070107 1114084 1392605 1465900 1484090 1900190 2140214 2785210 2968180 3710225 3800380 4280428 4750475 5350535 5570420 6963025 7420450 9500950 10701070 13926050 14840900 19001900 20332033 21402140 26752675 27852100 40664066 53505350 81328132 101660165 107010700 203320330 406640660 508300825 1016601650 2033203300