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210066168 = 233133137587
BaseRepresentation
bin11001000010101…
…01101011111000
3112122021110121110
430201111223320
5412234104133
632502240320
75130350544
oct1441255370
9478243543
10210066168
11a8638904
125a4260a0
13346a0010
141dc82a24
1513696c63
hexc855af8

210066168 has 128 divisors (see below), whose sum is σ = 600606720. Its totient is φ = 60756480.

The previous prime is 210066151. The next prime is 210066173. The reversal of 210066168 is 861660012.

210066168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357571 + ... + 358157.

It is an arithmetic number, because the mean of its divisors is an integer number (4692240).

Almost surely, 2210066168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210066168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300303360).

210066168 is an abundant number, since it is smaller than the sum of its proper divisors (390540552).

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

210066168 is a wasteful number, since it uses less digits than its factorization.

210066168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 210066168 is about 14493.6595792781. The cubic root of 210066168 is about 594.4546168839.

The spelling of 210066168 in words is "two hundred ten million, sixty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 37 39 52 62 74 78 93 104 111 124 148 156 186 222 248 296 312 372 403 444 481 587 744 806 888 962 1147 1174 1209 1443 1612 1761 1924 2294 2348 2418 2886 3224 3441 3522 3848 4588 4696 4836 5772 6882 7044 7631 9176 9672 11544 13764 14088 14911 15262 18197 21719 22893 27528 29822 30524 36394 43438 44733 45786 54591 59644 61048 65157 72788 86876 89466 91572 109182 119288 130314 145576 173752 178932 183144 218364 236561 260628 282347 357864 436728 473122 521256 564694 673289 709683 847041 946244 1129388 1346578 1419366 1694082 1892488 2019867 2258776 2693156 2838732 3388164 4039734 5386312 5677464 6776328 8079468 8752757 16158936 17505514 26258271 35011028 52516542 70022056 105033084 210066168