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22134212319 = 331259130127
BaseRepresentation
bin10100100111010011…
…010100011011011111
32010010120102111011110
4110213103110123133
5330312324243234
614100204553103
71412335462152
oct244723243337
963116374143
1022134212319
11942920535a
124358852793
1321198b3b6b
1410dd919c99
158982e01e9
hex5274d46df

22134212319 has 24 divisors (see below), whose sum is σ = 31012104960. Its totient is φ = 14037992880.

The previous prime is 22134212293. The next prime is 22134212323. The reversal of 22134212319 is 91321243122.

It is not a de Polignac number, because 22134212319 - 217 = 22134081247 is a prime.

It is a super-2 number, since 2×221342123192 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134212369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105034 + ... + 235160.

It is an arithmetic number, because the mean of its divisors is an integer number (1292171040).

Almost surely, 222134212319 is an apocalyptic number.

22134212319 is a deficient number, since it is larger than the sum of its proper divisors (8877892641).

22134212319 is a wasteful number, since it uses less digits than its factorization.

22134212319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130251 (or 130220 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 22134212 and 319, that added together give a triangular number (22134531 = T6653).

The spelling of 22134212319 in words is "twenty-two billion, one hundred thirty-four million, two hundred twelve thousand, three hundred nineteen".

Divisors: 1 3 31 59 93 177 961 1829 2883 5487 56699 130127 170097 390381 4033937 7677493 12101811 23032479 125052047 238002283 375156141 714006849 7378070773 22134212319