Search a number
-
+
221003233000 = 2353113166043
BaseRepresentation
bin1100110111010011010…
…0011011011011101000
3210010110002120110200221
43031310310123123220
512110103311424000
6245305534135424
721652444325314
oct3156464333350
9703402513627
10221003233000
11857aa622000
12369b9651574
1317ac07c66b4
14a9a7716b44
155b3730e61a
hex3374d1b6e8

221003233000 has 128 divisors (see below), whose sum is σ = 568826893440. Its totient is φ = 80364328000.

The previous prime is 221003232979. The next prime is 221003233091. The reversal of 221003233000 is 332300122.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1247979 + ... + 1414021.

It is an arithmetic number, because the mean of its divisors is an integer number (4443960105).

Almost surely, 2221003233000 is an apocalyptic number.

221003233000 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 221003233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284413446720).

221003233000 is an abundant number, since it is smaller than the sum of its proper divisors (347823660440).

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

221003233000 is a wasteful number, since it uses less digits than its factorization.

221003233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166097 (or 166061 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 221003233000 its reverse (332300122), we get a palindrome (221335533122).

The spelling of 221003233000 in words is "two hundred twenty-one billion, three million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1331 1375 2200 2420 2662 2750 3025 4840 5324 5500 6050 6655 10648 11000 12100 13310 15125 24200 26620 30250 33275 53240 60500 66550 121000 133100 166043 166375 266200 332086 332750 664172 665500 830215 1328344 1331000 1660430 1826473 3320860 3652946 4151075 6641720 7305892 8302150 9132365 14611784 16604300 18264730 20091203 20755375 33208600 36529460 40182406 41510750 45661825 73058920 80364812 83021500 91323650 100456015 160729624 166043000 182647300 200912030 221003233 228309125 365294600 401824060 442006466 456618250 502280075 803648120 884012932 913236500 1004560150 1105016165 1768025864 1826473000 2009120300 2210032330 2511400375 4018240600 4420064660 5022800750 5525080825 8840129320 10045601500 11050161650 20091203000 22100323300 27625404125 44200646600 55250808250 110501616500 221003233000