Search a number
-
+
223223231220 = 2235111994573719
BaseRepresentation
bin1100111111100100100…
…1000011001011110100
3210100011210220001202020
43033321021003023310
512124130121344340
6250314120313140
722061452105323
oct3177111031364
9710153801666
10223223231220
1186739770580
12373190127b0
131808570a702
14ab384bc0ba
155c1717b9d0
hex33f92432f4

223223231220 has 192 divisors, whose sum is σ = 686956032000. Its totient is φ = 53710525440.

The previous prime is 223223231207. The next prime is 223223231267. The reversal of 223223231220 is 22132322322.

It is a super-3 number, since 3×2232232312203 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60020521 + ... + 60024239.

It is an arithmetic number, because the mean of its divisors is an integer number (3577896000).

Almost surely, 2223223231220 is an apocalyptic number.

223223231220 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 223223231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343478016000).

223223231220 is an abundant number, since it is smaller than the sum of its proper divisors (463732800780).

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

223223231220 is a wasteful number, since it uses less digits than its factorization.

223223231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 223223231220 its reverse (22132322322), we get a palindrome (245355553542).

The spelling of 223223231220 in words is "two hundred twenty-three billion, two hundred twenty-three million, two hundred thirty-one thousand, two hundred twenty".