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164166612 = 223191017129
BaseRepresentation
bin10011100100011…
…11101111010100
3102102220112020220
421302033233110
5314011312422
624142354340
74032251601
oct1162175724
9372815226
10164166612
1184738895
1246b8b9b0
132801c10c
1417b356a8
15e62be5c
hex9c8fbd4

164166612 has 48 divisors (see below), whose sum is σ = 407265600. Its totient is φ = 51321600.

The previous prime is 164166581. The next prime is 164166659. The reversal of 164166612 is 216661461.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19464 + ... + 26592.

It is an arithmetic number, because the mean of its divisors is an integer number (8484700).

Almost surely, 2164166612 is an apocalyptic number.

164166612 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 164166612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203632800).

164166612 is an abundant number, since it is smaller than the sum of its proper divisors (243098988).

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

164166612 is a wasteful number, since it uses less digits than its factorization.

164166612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7256 (or 7254 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 164166612 is about 12812.7519292305. The cubic root of 164166612 is about 547.5556674909. Note that the first 3 decimals are identical.

The spelling of 164166612 in words is "one hundred sixty-four million, one hundred sixty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 1212 1919 3838 5757 7129 7676 11514 14258 21387 23028 28516 42774 85548 135451 270902 406353 541804 720029 812706 1440058 1625412 2160087 2880116 4320174 8640348 13680551 27361102 41041653 54722204 82083306 164166612