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22172106321 = 33414729067
BaseRepresentation
bin10100101001100011…
…110111111001010001
32010020012201200222000
4110221203313321101
5330402024400241
614104041104213
71413305536251
oct245143677121
963205650860
1022172106321
119448637712
124369488069
1321246c0c51
141104981961
1589b7c7eb6
hex5298f7e51

22172106321 has 48 divisors (see below), whose sum is σ = 34383679680. Its totient is φ = 14112498240.

The previous prime is 22172106289. The next prime is 22172106331. The reversal of 22172106321 is 12360127122.

22172106321 is a `hidden beast` number, since 2 + 2 + 1 + 7 + 21 + 0 + 632 + 1 = 666.

It is not a de Polignac number, because 22172106321 - 25 = 22172106289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22172106331) by changing a digit.

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, 2440830 + ... + 2449896.

It is an arithmetic number, because the mean of its divisors is an integer number (716326660).

Almost surely, 222172106321 is an apocalyptic number.

It is an amenable number.

22172106321 is a deficient number, since it is larger than the sum of its proper divisors (12211573359).

22172106321 is an equidigital number, since it uses as much as digits as its factorization.

22172106321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 22172106321 in words is "twenty-two billion, one hundred seventy-two million, one hundred six thousand, three hundred twenty-one".

Divisors: 1 3 9 27 41 47 123 141 369 423 1107 1269 1927 2209 5781 6627 9067 17343 19881 27201 52029 59643 81603 90569 244809 271707 371747 426149 815121 1115241 1278447 2445363 3345723 3835341 10037169 11506023 17472109 20029003 52416327 60087009 157248981 180261027 471746943 540783081 821189123 2463567369 7390702107 22172106321