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68212170 = 232513173337
BaseRepresentation
bin1000001000011…
…01010111001010
311202100112111200
410010031113022
5114430242140
610434005030
71455536205
oct404152712
9152315450
1068212170
113555a8a4
121aa16776
1311193b40
1490b893c
155ec6030
hex410d5ca

68212170 has 96 divisors (see below), whose sum is σ = 192668112. Its totient is φ = 16644096.

The previous prime is 68212103. The next prime is 68212171. The reversal of 68212170 is 7121286.

It can be written as a sum of positive squares in 8 ways, for example, as 24295041 + 43917129 = 4929^2 + 6627^2 .

It is a super-2 number, since 2×682121702 = 9305800272217800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (68212171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202242 + ... + 202578.

Almost surely, 268212170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68212170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96334056).

68212170 is an abundant number, since it is smaller than the sum of its proper divisors (124455942).

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

68212170 is a wasteful number, since it uses less digits than its factorization.

68212170 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 68212170 is about 8259.0659278153. The cubic root of 68212170 is about 408.5895815808.

The spelling of 68212170 in words is "sixty-eight million, two hundred twelve thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 173 195 234 337 346 390 519 585 674 865 1011 1038 1170 1557 1685 1730 2022 2249 2595 3033 3114 3370 4381 4498 5055 5190 6066 6747 7785 8762 10110 11245 13143 13494 15165 15570 20241 21905 22490 26286 30330 33735 39429 40482 43810 58301 65715 67470 78858 101205 116602 131430 174903 197145 202410 291505 349806 394290 524709 583010 757913 874515 1049418 1515826 1749030 2273739 2623545 3789565 4547478 5247090 6821217 7579130 11368695 13642434 22737390 34106085 68212170