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164122032 = 24317331973
BaseRepresentation
bin10011100100001…
…00110110110000
3102102211021002210
421302010312300
5314003401112
624141412120
74032004614
oct1162046660
9372737083
10164122032
1184708348
1246b6a040
1328004a39
1417b23344
15e61db3c
hex9c84db0

164122032 has 40 divisors (see below), whose sum is σ = 424441584. Its totient is φ = 54648064.

The previous prime is 164122003. The next prime is 164122037. The reversal of 164122032 is 230221461.

164122032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164122037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82198 + ... + 84170.

Almost surely, 2164122032 is an apocalyptic number.

164122032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164122032 is an abundant number, since it is smaller than the sum of its proper divisors (260319552).

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

164122032 is a wasteful number, since it uses less digits than its factorization.

164122032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3717 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 164122032 is about 12811.0121380007. The cubic root of 164122032 is about 547.5060994713.

Adding to 164122032 its reverse (230221461), we get a palindrome (394343493).

The spelling of 164122032 in words is "one hundred sixty-four million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1733 1973 3466 3946 5199 5919 6932 7892 10398 11838 13864 15784 20796 23676 27728 31568 41592 47352 83184 94704 3419209 6838418 10257627 13676836 20515254 27353672 41030508 54707344 82061016 164122032