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166225644 = 223213418663
BaseRepresentation
bin10011110100001…
…10011011101100
3102120210010201100
421322012123230
5320023210034
624254443100
74055615604
oct1172063354
9376703640
10166225644
1185914872
1247803490
1328590390
141810dc04
15e8d7099
hex9e866ec

166225644 has 72 divisors (see below), whose sum is σ = 463593312. Its totient is φ = 49893120.

The previous prime is 166225537. The next prime is 166225667. The reversal of 166225644 is 446522661.

166225644 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 2 + 5 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 166225599 and 166225608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14857 + ... + 23519.

It is an arithmetic number, because the mean of its divisors is an integer number (6438796).

Almost surely, 2166225644 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 166225644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231796656).

166225644 is an abundant number, since it is smaller than the sum of its proper divisors (297367668).

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

166225644 is a wasteful number, since it uses less digits than its factorization.

166225644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727 (or 8722 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 166225644 is about 12892.8524384637. The cubic root of 166225644 is about 549.8353711130.

The spelling of 166225644 in words is "one hundred sixty-six million, two hundred twenty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 533 738 1066 1476 1599 2132 3198 4797 6396 8663 9594 17326 19188 25989 34652 51978 77967 103956 112619 155934 225238 311868 337857 355183 450476 675714 710366 1013571 1065549 1351428 1420732 2027142 2131098 3196647 4054284 4262196 4617379 6393294 9234758 12786588 13852137 18469516 27704274 41556411 55408548 83112822 166225644