Search a number
-
+
222121220000 = 2554101109961
BaseRepresentation
bin1100111011011101110…
…1001101011110100000
3210020100000021002112212
43032313131031132200
512114401013020000
6250012512341252
722022241134531
oct3166735153640
9706300232485
10222121220000
11862237021a9
123706bb44828
1317c3b304474
14aa71db8688
155ba0549c35
hex33b774d7a0

222121220000 has 120 divisors (see below), whose sum is σ = 551866949172. Its totient is φ = 87968000000.

The previous prime is 222121219967. The next prime is 222121220003. The reversal of 222121220000 is 22121222.

It can be written as a sum of positive squares in 10 ways, for example, as 24924831376 + 197196388624 = 157876^2 + 444068^2 .

It is not an unprimeable number, because it can be changed into a prime (222121220003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1965020 + ... + 2074980.

Almost surely, 2222121220000 is an apocalyptic number.

222121220000 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 222121220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275933474586).

222121220000 is an abundant number, since it is smaller than the sum of its proper divisors (329745729172).

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

222121220000 is a wasteful number, since it uses less digits than its factorization.

222121220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110092 (or 110069 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 222121220000 its reverse (22121222), we get a palindrome (222143341222).

The spelling of 222121220000 in words is "two hundred twenty-two billion, one hundred twenty-one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 625 800 808 1000 1010 1250 1616 2000 2020 2500 2525 3232 4000 4040 5000 5050 8080 10000 10100 12625 16160 20000 20200 25250 40400 50500 63125 80800 101000 109961 126250 202000 219922 252500 404000 439844 505000 549805 879688 1010000 1099610 1759376 2020000 2199220 2749025 3518752 4398440 5498050 8796880 10996100 11106061 13745125 17593760 21992200 22212122 27490250 43984400 44424244 54980500 55530305 68725625 87968800 88848488 109961000 111060610 137451250 177696976 219922000 222121220 274902500 277651525 355393952 439844000 444242440 549805000 555303050 888484880 1099610000 1110606100 1388257625 1776969760 2199220000 2221212200 2776515250 4442424400 5553030500 6941288125 8884848800 11106061000 13882576250 22212122000 27765152500 44424244000 55530305000 111060610000 222121220000