Search a number
-
+
22122210002200 = 235271110114222843
BaseRepresentation
bin1010000011110101110100…
…11110000000010100011000
32220022212021211222201012121
411001322322132000110120
510344422241230032300
6115014445235351024
74442163662300320
oct501727236002430
986285254881177
1022122210002200
117059a81904340
122593523452474
13c46166856679
14566a13776280
152856b1d5e81a
hex141eba780518

22122210002200 has 192 divisors, whose sum is σ = 64760591128320. Its totient is φ = 6826964160000.

The previous prime is 22122210002183. The next prime is 22122210002239. The reversal of 22122210002200 is 220001222122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5556022 + ... + 8666821.

It is an arithmetic number, because the mean of its divisors is an integer number (337294745460).

Almost surely, 222122210002200 is an apocalyptic number.

22122210002200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122210002200 is an abundant number, since it is smaller than the sum of its proper divisors (42638381126120).

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

22122210002200 is a wasteful number, since it uses less digits than its factorization.

22122210002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14222978 (or 14222969 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22122210002200 its reverse (220001222122), we get a palindrome (22342211224322).

The spelling of 22122210002200 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred ten million, two thousand, two hundred".