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66816222 = 231117231113
BaseRepresentation
bin1111111011100…
…0100011011110
311122201121121220
43332320203132
5114101104342
610344034210
71440633324
oct376704336
9148647556
1066816222
1134797020
121a462966
1310ac5635
148c33d14
155cec5ec
hex3fb88de

66816222 has 96 divisors (see below), whose sum is σ = 161270784. Its totient is φ = 18278400.

The previous prime is 66816221. The next prime is 66816223. The reversal of 66816222 is 22261866.

It is an interprime number because it is at equal distance from previous prime (66816221) and next prime (66816223).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66816221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 591238 + ... + 591350.

It is an arithmetic number, because the mean of its divisors is an integer number (1679904).

Almost surely, 266816222 is an apocalyptic number.

66816222 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66816222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80635392).

66816222 is an abundant number, since it is smaller than the sum of its proper divisors (94454562).

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

66816222 is a wasteful number, since it uses less digits than its factorization.

66816222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 66816222 is about 8174.1190351010. The cubic root of 66816222 is about 405.7831151704.

The spelling of 66816222 in words is "sixty-six million, eight hundred sixteen thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 31 33 34 51 62 66 93 102 113 186 187 226 289 339 341 374 527 561 578 678 682 867 1023 1054 1122 1243 1581 1734 1921 2046 2486 3162 3179 3503 3729 3842 5763 5797 6358 7006 7458 8959 9537 10509 11526 11594 17391 17918 19074 21018 21131 26877 32657 34782 38533 42262 53754 59551 63393 65314 77066 97971 98549 115599 119102 126786 178653 195942 197098 231198 295647 357306 359227 591294 655061 718454 1012367 1077681 1310122 1965183 2024734 2155362 3037101 3930366 6074202 11136037 22272074 33408111 66816222