Search a number
-
+
233300022000 = 24353371050901
BaseRepresentation
bin1101100101000111000…
…0111101001011110000
3211022012002011002000120
43121101300331023300
512310244301201000
6255102045050240
722566251316153
oct3312160751360
9738162132016
10233300022000
118aa3a864641
123926b856980
13190002a35c6
14b41290dc9a
156106b576a0
hex3651c3d2f0

233300022000 has 160 divisors (see below), whose sum is σ = 772488634944. Its totient is φ = 60531840000.

The previous prime is 233300021993. The next prime is 233300022023. The reversal of 233300022000 is 220003332.

233300022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303451 + ... + 747450.

Almost surely, 2233300022000 is an apocalyptic number.

233300022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233300022000 is an abundant number, since it is smaller than the sum of its proper divisors (539188612944).

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

233300022000 is a wasteful number, since it uses less digits than its factorization.

233300022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050964 (or 1050948 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 15.

Adding to 233300022000 its reverse (220003332), we get a palindrome (233520025332).

The spelling of 233300022000 in words is "two hundred thirty-three billion, three hundred million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 74000 111000 222000 1050901 2101802 3152703 4203604 5254505 6305406 8407208 10509010 12610812 15763515 16814416 21018020 25221624 26272525 31527030 38883337 42036040 50443248 52545050 63054060 77766674 78817575 84072080 105090100 116650011 126108120 131362625 155533348 157635150 194416685 210180200 233300022 252216240 262725250 311066696 315270300 388833370 394087875 420360400 466600044 525450500 583250055 622133392 630540600 777666740 788175750 933200088 972083425 1050901000 1166500110 1261081200 1555333480 1576351500 1866400176 1944166850 2101802000 2333000220 2916250275 3110666960 3152703000 3888333700 4666000440 4860417125 5832500550 6305406000 7776667400 9332000880 9720834250 11665001100 14581251375 15553334800 19441668500 23330002200 29162502750 38883337000 46660004400 58325005500 77766674000 116650011000 233300022000