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13222333134 = 2331722962897
BaseRepresentation
bin11000101000001110…
…01100101011001110
31021010111011010012000
430110013030223032
5204034404130014
610024012253130
7645442656123
oct142407145316
937114133160
1013222333134
11567573164a
1226901711a6
13132947837a
148d60c274a
15525c1d509
hex3141ccace

13222333134 has 64 divisors (see below), whose sum is σ = 31247726400. Its totient is φ = 4130002944.

The previous prime is 13222333133. The next prime is 13222333147. The reversal of 13222333134 is 43133322231.

13222333134 is a `hidden beast` number, since 1 + 322 + 2 + 3 + 331 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13222333098 and 13222333107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13222333133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178774 + ... + 241670.

It is an arithmetic number, because the mean of its divisors is an integer number (488245725).

Almost surely, 213222333134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13222333134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623863200).

13222333134 is an abundant number, since it is smaller than the sum of its proper divisors (18025393266).

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

13222333134 is a wasteful number, since it uses less digits than its factorization.

13222333134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63154 (or 63148 counting only the distinct ones).

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

Adding to 13222333134 its reverse (43133322231), we get a palindrome (56355655365).

The spelling of 13222333134 in words is "thirteen billion, two hundred twenty-two million, three hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 229 306 458 459 687 918 1374 2061 3893 4122 6183 7786 11679 12366 23358 35037 62897 70074 105111 125794 188691 210222 377382 566073 1069249 1132146 1698219 2138498 3207747 3396438 6415494 9623241 14403413 19246482 28806826 28869723 43210239 57739446 86420478 129630717 244858021 259261434 388892151 489716042 734574063 777784302 1469148126 2203722189 4407444378 6611166567 13222333134