Search a number
-
+
166464216 = 23329912333
BaseRepresentation
bin10011110110000…
…00101011011000
3102121020020222100
421323000223120
5320103323331
624303523400
74060631262
oct1173005330
9377206870
10166464216
1185a68036
12478b9560
1328644b49
1418172b32
15e932ae6
hex9ec0ad8

166464216 has 48 divisors (see below), whose sum is σ = 451488960. Its totient is φ = 55408320.

The previous prime is 166464209. The next prime is 166464281. The reversal of 166464216 is 612464661.

166464216 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 642 + 1 + 6 = 666.

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70186 + ... + 72518.

It is an arithmetic number, because the mean of its divisors is an integer number (9406020).

Almost surely, 2166464216 is an apocalyptic number.

It is an amenable number.

166464216 is an abundant number, since it is smaller than the sum of its proper divisors (285024744).

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

166464216 is a wasteful number, since it uses less digits than its factorization.

166464216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3329 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 166464216 is about 12902.1012242193. The cubic root of 166464216 is about 550.0982920748.

The spelling of 166464216 in words is "one hundred sixty-six million, four hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 991 1982 2333 2973 3964 4666 5946 6999 7928 8919 9332 11892 13998 17838 18664 20997 23784 27996 35676 41994 55992 71352 83988 167976 2312003 4624006 6936009 9248012 13872018 18496024 20808027 27744036 41616054 55488072 83232108 166464216