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66198210 = 23513269631
BaseRepresentation
bin1111110010000…
…1101011000010
311121120012212120
43330201223002
5113421320320
610322505110
71432450461
oct374415302
9147505776
1066198210
1134404771
121a205196
131093a250
148b129d8
155c29440
hex3f21ac2

66198210 has 64 divisors (see below), whose sum is σ = 172005120. Its totient is φ = 16208640.

The previous prime is 66198193. The next prime is 66198233. The reversal of 66198210 is 1289166.

66198210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 104595 + ... + 105225.

It is an arithmetic number, because the mean of its divisors is an integer number (2687580).

Almost surely, 266198210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66198210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

66198210 is an abundant number, since it is smaller than the sum of its proper divisors (105806910).

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

66198210 is a wasteful number, since it uses less digits than its factorization.

66198210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923.

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 66198210 is about 8136.2282416363. The cubic root of 66198210 is about 404.5281503733.

The spelling of 66198210 in words is "sixty-six million, one hundred ninety-eight thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 269 390 538 631 807 1262 1345 1614 1893 2690 3155 3497 3786 4035 6310 6994 8070 8203 9465 10491 16406 17485 18930 20982 24609 34970 41015 49218 52455 82030 104910 123045 169739 246090 339478 509217 848695 1018434 1697390 2206607 2546085 4413214 5092170 6619821 11033035 13239642 22066070 33099105 66198210