Search a number
-
+
222202122212200 = 23521310313126324083
BaseRepresentation
bin110010100001011101110110…
…100100000001001101101000
31002010202022111221112122112111
4302201131312210001031220
5213111024421241242300
62104330125025052104
764542400505320204
oct6241356644011550
91063668457478474
10222202122212200
1164889433211849
1220b08315187034
1396ca7549c02c0
143cc28d6601b04
151aa4ec182a9ba
hexca1776901368

222202122212200 has 384 divisors, whose sum is σ = 568225611233280. Its totient is φ = 80317207526400.

The previous prime is 222202122212159. The next prime is 222202122212201. The reversal of 222202122212200 is 2212221202222.

It is not an unprimeable number, because it can be changed into a prime (222202122212201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9226501359 + ... + 9226525441.

It is an arithmetic number, because the mean of its divisors is an integer number (1479754195920).

Almost surely, 2222202122212200 is an apocalyptic number.

222202122212200 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 222202122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284112805616640).

222202122212200 is an abundant number, since it is smaller than the sum of its proper divisors (346023489021080).

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

222202122212200 is a wasteful number, since it uses less digits than its factorization.

222202122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24609 (or 24600 counting only the distinct ones).

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

Adding to 222202122212200 its reverse (2212221202222), we get a palindrome (224414343414422).

The spelling of 222202122212200 in words is "two hundred twenty-two trillion, two hundred two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".