Search a number
-
+
2232033120300 = 22352171733252541
BaseRepresentation
bin100000011110101111100…
…010101001000000101100
321220101021020002122120110
4200132233202221000230
5243032200434322200
64425214252020020
7320154601325244
oct40365742510054
97811236078513
102232033120300
11790666564425
123006bb461610
1313263121aca9
147a061016b24
153d0d87d1b50
hex207af8a902c

2232033120300 has 144 divisors (see below), whose sum is σ = 6841871904672. Its totient is φ = 559871078400.

The previous prime is 2232033120293. The next prime is 2232033120311. The reversal of 2232033120300 is 30213302322.

It is a super-3 number, since 3×22320331203003 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8712030 + ... + 8964570.

It is an arithmetic number, because the mean of its divisors is an integer number (47512999338).

Almost surely, 22232033120300 is an apocalyptic number.

2232033120300 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 2232033120300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420935952336).

2232033120300 is an abundant number, since it is smaller than the sum of its proper divisors (4609838784372).

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

2232033120300 is a wasteful number, since it uses less digits than its factorization.

2232033120300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254308 (or 254301 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2232033120300 its reverse (30213302322), we get a palindrome (2262246422622).

The spelling of 2232033120300 in words is "two trillion, two hundred thirty-two billion, thirty-three million, one hundred twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 1733 2550 3466 5100 5199 6932 8665 10398 17330 20796 25995 29461 34660 43325 51990 58922 86650 88383 103980 117844 129975 147305 173300 176766 252541 259950 294610 353532 441915 505082 519900 589220 736525 757623 883830 1010164 1262705 1473050 1515246 1767660 2209575 2525410 2946100 3030492 3788115 4293197 4419150 5050820 6313525 7576230 8586394 8838300 12627050 12879591 15152460 17172788 18940575 21465985 25254100 25759182 37881150 42931970 51518364 64397955 75762300 85863940 107329925 128795910 214659850 257591820 321989775 429319700 437653553 643979550 875307106 1287959100 1312960659 1750614212 2188267765 2625921318 4376535530 5251842636 6564803295 7440110401 8753071060 10941338825 13129606590 14880220802 21882677650 22320331203 26259213180 29760441604 32824016475 37200552005 43765355300 44640662406 65648032950 74401104010 89281324812 111601656015 131296065900 148802208020 186002760025 223203312030 372005520050 446406624060 558008280075 744011040100 1116016560150 2232033120300