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22133234133 = 321722322909
BaseRepresentation
bin10100100111001111…
…100101100111010101
32010010111120210100100
4110213033211213111
5330312101443013
614100132004313
71412324246253
oct244717454725
963114523310
1022133234133
1194286a743a
124358460699
13211963085a
1410dd7435d3
1589819a473
hex5273e59d5

22133234133 has 36 divisors (see below), whose sum is σ = 34014995820. Its totient is φ = 13820491008.

The previous prime is 22133234131. The next prime is 22133234147. The reversal of 22133234133 is 33143233122.

22133234133 is a `hidden beast` number, since 2 + 213 + 32 + 3 + 413 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18262279044 + 3870955089 = 135138^2 + 62217^2 .

It is not a de Polignac number, because 22133234133 - 21 = 22133234131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22133234097 and 22133234106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22133234131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7607083 + ... + 7609991.

It is an arithmetic number, because the mean of its divisors is an integer number (944860995).

Almost surely, 222133234133 is an apocalyptic number.

It is an amenable number.

22133234133 is a deficient number, since it is larger than the sum of its proper divisors (11881761687).

22133234133 is a wasteful number, since it uses less digits than its factorization.

22133234133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3152 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 22133234133 its reverse (33143233122), we get a palindrome (55276467255).

The spelling of 22133234133 in words is "twenty-two billion, one hundred thirty-three million, two hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 17 51 153 223 669 2007 2909 3791 8727 11373 26181 34119 49453 49729 148359 149187 445077 447561 648707 845393 1946121 2536179 5838363 7608537 11028019 33084057 99252171 144661661 433984983 1301954949 2459248237 7377744711 22133234133