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135840333222 = 232112387716087
BaseRepresentation
bin111111010000010110…
…1101111110110100110
3110222121221112220122200
41332200231233312212
54211200111130342
6142223145435330
712546151531626
oct1764055576646
9428557486580
10135840333222
1152678365a00
12223b079bb46
13ca6ab686c9
146808dd4886
15380095c94c
hex1fa0b6fda6

135840333222 has 72 divisors (see below), whose sum is σ = 323613112368. Its totient is φ = 41150561760.

The previous prime is 135840333157. The next prime is 135840333241. The reversal of 135840333222 is 222333048531.

135840333222 is a `hidden beast` number, since 13 + 58 + 40 + 333 + 222 = 666.

It is a super-2 number, since 2×1358403332222 (a number of 23 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 8436063 + ... + 8452149.

Almost surely, 2135840333222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135840333222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161806556184).

135840333222 is an abundant number, since it is smaller than the sum of its proper divisors (187772779146).

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

135840333222 is a wasteful number, since it uses less digits than its factorization.

135840333222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19994 (or 19980 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 135840333222 in words is "one hundred thirty-five billion, eight hundred forty million, three hundred thirty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 3877 7754 11631 16087 23262 32174 34893 42647 48261 69786 85294 96522 127941 144783 176957 255882 289566 353914 383823 469117 530871 767646 938234 1061742 1407351 1592613 1946527 2814702 3185226 3893054 4222053 5839581 8444106 11679162 17518743 35037486 62369299 124738598 187107897 374215794 561323691 686062289 1122647382 1372124578 2058186867 4116373734 6174560601 7546685179 12349121202 15093370358 22640055537 45280111074 67920166611 135840333222