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2224020204222 = 231012269913463
BaseRepresentation
bin100000010111010001111…
…011110010101010111110
321212121120210101100010220
4200113101323302222332
5242414243133013342
64421411211242210
7316452202552005
oct40272173625276
97777523340126
102224020204222
11788224474a33
122bb043a49366
13131955104c2b
1479900b49c3c
153ccba0d45ec
hex205d1ef2abe

2224020204222 has 48 divisors (see below), whose sum is σ = 4494514780800. Its totient is φ = 733673615200.

The previous prime is 2224020204199. The next prime is 2224020204227.

2224020204222 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2224020204192 and 2224020204201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224020204227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165188263 + ... + 165201725.

It is an arithmetic number, because the mean of its divisors is an integer number (93635724600).

Almost surely, 22224020204222 is an apocalyptic number.

2224020204222 is an abundant number, since it is smaller than the sum of its proper divisors (2270494576578).

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

2224020204222 is a wasteful number, since it uses less digits than its factorization.

2224020204222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16369 (or 16268 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

It can be divided in two parts, 2224020 and 204222, that added together give a palindrome (2428242).

The spelling of 2224020204222 in words is "two trillion, two hundred twenty-four billion, twenty million, two hundred four thousand, two hundred twenty-two".

Divisors: 1 2 3 6 101 202 303 606 2699 5398 8097 10201 13463 16194 20402 26926 30603 40389 61206 80778 272599 545198 817797 1359763 1635594 2719526 4079289 8158578 27532499 36336637 55064998 72673274 82597497 109009911 137336063 165194994 218019822 274672126 412008189 824016378 3670000337 7340000674 11010001011 22020002022 370670034037 741340068074 1112010102111 2224020204222