Search a number
-
+
222401300000 = 255511202183
BaseRepresentation
bin1100111100100000100…
…1101000011000100000
3210021001112021122002012
43033020021220120200
512120434213100000
6250100355412052
722032211600355
oct3171011503040
9707045248065
10222401300000
1186357810480
12371298b4028
1317c84349389
14aa9b28462c
155bb9e21735
hex33c8268620

222401300000 has 144 divisors (see below), whose sum is σ = 597036412224. Its totient is φ = 80872800000.

The previous prime is 222401299999. The next prime is 222401300047. The reversal of 222401300000 is 3104222.

222401300000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 998909 + ... + 1201091.

It is an arithmetic number, because the mean of its divisors is an integer number (4146086196).

Almost surely, 2222401300000 is an apocalyptic number.

222401300000 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 222401300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298518206112).

222401300000 is an abundant number, since it is smaller than the sum of its proper divisors (374635112224).

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

222401300000 is an equidigital number, since it uses as much as digits as its factorization.

222401300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202229 (or 202201 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 222401300000 its reverse (3104222), we get a palindrome (222404404222).

The spelling of 222401300000 in words is "two hundred twenty-two billion, four hundred one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 3125 4000 4400 5000 5500 6250 6875 8800 10000 11000 12500 13750 20000 22000 25000 27500 34375 44000 50000 55000 68750 100000 110000 137500 202183 220000 275000 404366 550000 808732 1010915 1100000 1617464 2021830 2224013 3234928 4043660 4448026 5054575 6469856 8087320 8896052 10109150 11120065 16174640 17792104 20218300 22240130 25272875 32349280 35584208 40436600 44480260 50545750 55600325 71168416 80873200 88960520 101091500 111200650 126364375 161746400 177921040 202183000 222401300 252728750 278001625 355842080 404366000 444802600 505457500 556003250 631821875 808732000 889605200 1010915000 1112006500 1263643750 1390008125 1779210400 2021830000 2224013000 2527287500 2780016250 4043660000 4448026000 5054575000 5560032500 6950040625 8896052000 10109150000 11120065000 13900081250 20218300000 22240130000 27800162500 44480260000 55600325000 111200650000 222401300000