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1225222225221 = 329101990114083
BaseRepresentation
bin10001110101000100111…
…011110111110101000101
311100010111211202220111010
4101311010323313311011
5130033223342201341
62334505340232433
7154343102036241
oct21650473676505
94303454686433
101225222225221
11432683006225
1217955853b719
138b6cbb8a727
14434301db421
1521d0e157716
hex11d44ef7d45

1225222225221 has 32 divisors (see below), whose sum is σ = 1706987560320. Its totient is φ = 780706080000.

The previous prime is 1225222225193. The next prime is 1225222225309.

1225222225221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1225222225221 - 27 = 1225222225093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225222225621) 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 31 ways as a sum of consecutive naturals, for example, 86993046 + ... + 87007128.

It is an arithmetic number, because the mean of its divisors is an integer number (53343361260).

Almost surely, 21225222225221 is an apocalyptic number.

It is an amenable number.

1225222225221 is a deficient number, since it is larger than the sum of its proper divisors (481765335099).

1225222225221 is a wasteful number, since it uses less digits than its factorization.

1225222225221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24117.

The product of its digits is 12800, while the sum is 30.

The spelling of 1225222225221 in words is "one trillion, two hundred twenty-five billion, two hundred twenty-two million, two hundred twenty-five thousand, two hundred twenty-one".

Divisors: 1 3 29 87 101 303 2929 8787 9901 14083 29703 42249 287129 408407 861387 1000001 1225221 1422383 3000003 4267149 29000029 41249107 87000087 123747321 139435783 418307349 4043637707 12130913121 14083014083 42249042249 408407408407 1225222225221