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34032000222 = 232111735928163
BaseRepresentation
bin11111101100011101…
…110001110011011110
310020211202012201212200
4133230131301303132
51024144143001342
623344543512330
72313226141353
oct375435616336
9106752181780
1034032000222
11134841a4520
1267192b86a6
13329480c04c
14190bb2c62a
15d42ac094c
hex7ec771cde

34032000222 has 96 divisors (see below), whose sum is σ = 85411272960. Its totient is φ = 9678716160.

The previous prime is 34032000203. The next prime is 34032000241. The reversal of 34032000222 is 22200023043.

34032000222 is a `hidden beast` number, since 340 + 320 + 0 + 0 + 2 + 2 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34032000203) and next prime (34032000241).

It is a super-2 number, since 2×340320002222 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34032000195 and 34032000204.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1194313 + ... + 1222475.

It is an arithmetic number, because the mean of its divisors is an integer number (889700760).

Almost surely, 234032000222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34032000222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42705636480).

34032000222 is an abundant number, since it is smaller than the sum of its proper divisors (51379272738).

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

34032000222 is a wasteful number, since it uses less digits than its factorization.

34032000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28558 (or 28555 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 34032000222 its reverse (22200023043), we get a palindrome (56232023265).

The spelling of 34032000222 in words is "thirty-four billion, thirty-two million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 359 374 561 718 1077 1122 1683 2154 3231 3366 3949 6103 6462 7898 11847 12206 18309 23694 28163 35541 36618 54927 56326 67133 71082 84489 109854 134266 168978 201399 253467 309793 402798 478771 506934 604197 619586 929379 957542 1208394 1436313 1858758 2788137 2872626 4308939 5266481 5576274 8617878 10110517 10532962 15799443 20221034 30331551 31598886 47398329 60663102 90994653 94796658 111215687 171878789 181989306 222431374 333647061 343757578 515636367 667294122 1000941183 1031272734 1546909101 1890666679 2001882366 3093818202 3781333358 5672000037 11344000074 17016000111 34032000222