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166422444 = 22319241937
BaseRepresentation
bin10011110101101…
…10011110101100
3102121011010200020
421322312132230
5320101004234
624303002140
74060365426
oct1172663654
9377133606
10166422444
1185a39711
1247899350
132862bb26
1418161816
15e925549
hex9eb67ac

166422444 has 72 divisors (see below), whose sum is σ = 420276528. Its totient is φ = 51217920.

The previous prime is 166422433. The next prime is 166422449. The reversal of 166422444 is 444224661.

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

It is not an unprimeable number, because it can be changed into a prime (166422449) 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, 177144 + ... + 178080.

It is an arithmetic number, because the mean of its divisors is an integer number (5837174).

Almost surely, 2166422444 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 166422444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210138264).

166422444 is an abundant number, since it is smaller than the sum of its proper divisors (253854084).

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

166422444 is a wasteful number, since it uses less digits than its factorization.

166422444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1002 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 166422444 is about 12900.4823165648. The cubic root of 166422444 is about 550.0522749212.

The spelling of 166422444 in words is "one hundred sixty-six million, four hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 361 492 722 779 937 1083 1444 1558 1874 2166 2337 2811 3116 3748 4332 4674 5622 9348 11244 14801 17803 29602 35606 38417 44403 53409 59204 71212 76834 88806 106818 115251 153668 177612 213636 230502 338257 461004 676514 729923 1014771 1353028 1459846 2029542 2189769 2919692 4059084 4379538 8759076 13868537 27737074 41605611 55474148 83211222 166422444