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116223666 = 23132611879
BaseRepresentation
bin1101110110101…
…10111010110010
322002200202220020
412323112322302
5214223124131
615311024310
72610612336
oct673267262
9262622806
10116223666
115a672619
1232b0b096
131b104100
14116157c6
15a30b996
hex6ed6eb2

116223666 has 48 divisors (see below), whose sum is σ = 255965760. Its totient is φ = 35156160.

The previous prime is 116223661. The next prime is 116223689. The reversal of 116223666 is 666322611.

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (116223661) 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 23 ways as a sum of consecutive naturals, for example, 60915 + ... + 62793.

It is an arithmetic number, because the mean of its divisors is an integer number (5332620).

Almost surely, 2116223666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116223666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127982880).

116223666 is an abundant number, since it is smaller than the sum of its proper divisors (139742094).

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

116223666 is a wasteful number, since it uses less digits than its factorization.

116223666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1958 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 116223666 is about 10780.7080472481. The cubic root of 116223666 is about 488.0131485528.

The spelling of 116223666 in words is "one hundred sixteen million, two hundred twenty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 13 26 39 61 78 122 169 183 338 366 507 793 1014 1586 1879 2379 3758 4758 5637 10309 11274 20618 24427 30927 48854 61854 73281 114619 146562 229238 317551 343857 635102 687714 952653 1490047 1905306 2980094 4470141 8940282 19370611 38741222 58111833 116223666