Search a number
-
+
222011412221412 = 22321119612518392297
BaseRepresentation
bin110010011110101100001111…
…010111001000110111100100
31002010002002021001001022220100
4302132230033113020313210
5213044413333012041122
62104102345040104100
764522536521203152
oct6236541727106744
91063062231038810
10222011412221412
1164815569412010
1220a97370905030
1396b57812618c8
143cb75a42683d2
151aa005dc6baac
hexc9eb0f5c8de4

222011412221412 has 576 divisors, whose sum is σ = 658679541811200. Its totient is φ = 62339155200000.

The previous prime is 222011412221411. The next prime is 222011412221437. The reversal of 222011412221412 is 214122214110222.

222011412221412 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 1 + 14 + 12 + 221 + 412 = 666.

It is a super-2 number, since 2×2220114122214122 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (222011412221411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96652768648 + ... + 96652770944.

It is an arithmetic number, because the mean of its divisors is an integer number (1143540871200).

Almost surely, 2222011412221412 is an apocalyptic number.

222011412221412 is a gapful number since it is divisible by the number (22) 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 222011412221412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329339770905600).

222011412221412 is an abundant number, since it is smaller than the sum of its proper divisors (436668129589788).

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

222011412221412 is a wasteful number, since it uses less digits than its factorization.

222011412221412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 222011412221412 its reverse (214122214110222), we get a palindrome (436133626331634).

The spelling of 222011412221412 in words is "two hundred twenty-two trillion, eleven billion, four hundred twelve million, two hundred twenty-one thousand, four hundred twelve".