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166220112 = 24329432777
BaseRepresentation
bin10011110100001…
…01000101010000
3102120202212010110
421322011011100
5320023020422
624254401320
74055563512
oct1172050520
9376685113
10166220112
11859106a3
1247800240
132858a9c6
141810bbb2
15e8d560c
hex9e85150

166220112 has 80 divisors (see below), whose sum is σ = 454703040. Its totient is φ = 52233216.

The previous prime is 166220111. The next prime is 166220143. The reversal of 166220112 is 211022661.

166220112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166220111) 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 15 ways as a sum of consecutive naturals, for example, 58468 + ... + 61244.

It is an arithmetic number, because the mean of its divisors is an integer number (5683788).

Almost surely, 2166220112 is an apocalyptic number.

166220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227351520).

166220112 is an abundant number, since it is smaller than the sum of its proper divisors (288482928).

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

166220112 is a wasteful number, since it uses less digits than its factorization.

166220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 166220112 is about 12892.6378992043. The cubic root of 166220112 is about 549.8292715266.

Adding to 166220112 its reverse (211022661), we get a palindrome (377242773).

The spelling of 166220112 in words is "one hundred sixty-six million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 2064 2494 2777 3741 4988 5554 7482 8331 9976 11108 14964 16662 19952 22216 29928 33324 44432 59856 66648 80533 119411 133296 161066 238822 241599 322132 358233 477644 483198 644264 716466 955288 966396 1288528 1432932 1910576 1932792 2865864 3462919 3865584 5731728 6925838 10388757 13851676 20777514 27703352 41555028 55406704 83110056 166220112