Search a number
-
+
222222202201120 = 25511318221495437
BaseRepresentation
bin110010100001110000100011…
…011011000110010000100000
31002010211020100100120202221211
4302201300203123012100200
5213111342032230413440
62104343245332555504
764544011221363022
oct6241604333062040
91063736310522854
10222222202201120
11648969a7904710
1220b10199a82b94
1396cc604b23254
143cc387d38a012
151aa57995e6eea
hexca1c236c6420

222222202201120 has 192 divisors, whose sum is σ = 591275399887872. Its totient is φ = 78191691264000.

The previous prime is 222222202201099. The next prime is 222222202201123. The reversal of 222222202201120 is 21102202222222.

It is a super-2 number, since 2×2222222022011202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 222222202201091 and 222222202201100.

It is not an unprimeable number, because it can be changed into a prime (222222202201123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448290042 + ... + 448785478.

It is an arithmetic number, because the mean of its divisors is an integer number (3079559374416).

Almost surely, 2222222202201120 is an apocalyptic number.

222222202201120 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 222222202201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295637699943936).

222222202201120 is an abundant number, since it is smaller than the sum of its proper divisors (369053197686752).

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

222222202201120 is a wasteful number, since it uses less digits than its factorization.

222222202201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503715 (or 503707 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 222222202201120 its reverse (21102202222222), we get a palindrome (243324404423342).

The spelling of 222222202201120 in words is "two hundred twenty-two trillion, two hundred twenty-two billion, two hundred two million, two hundred one thousand, one hundred twenty".