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222002131122 = 23212333451729
BaseRepresentation
bin1100111011000001011…
…0111011000010110010
3210020000201011202022200
43032300112323002302
512114130021143442
6245553020044030
722016263656612
oct3166026730262
9706021152280
10222002131122
1186172462a42
1237038093616
1317c1c739185
14aa60258a42
155b94d7434c
hex33b05bb0b2

222002131122 has 12 divisors (see below), whose sum is σ = 481004617470. Its totient is φ = 74000710368.

The previous prime is 222002131111. The next prime is 222002131151. The reversal of 222002131122 is 221131200222.

222002131122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 222002111241 + 19881 = 471171^2 + 141^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12333451729 = 222002131122 / (2 + 2 + 2 + 0 + 0 + 2 + 1 + 3 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 222002131095 and 222002131104.

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 5 ways as a sum of consecutive naturals, for example, 6166725847 + ... + 6166725882.

Almost surely, 2222002131122 is an apocalyptic number.

222002131122 is an abundant number, since it is smaller than the sum of its proper divisors (259002486348).

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

222002131122 is a wasteful number, since it uses less digits than its factorization.

222002131122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333451737 (or 12333451734 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 222002131122 its reverse (221131200222), we get a palindrome (443133331344).

The spelling of 222002131122 in words is "two hundred twenty-two billion, two million, one hundred thirty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 12333451729 24666903458 37000355187 74000710374 111001065561 222002131122