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164254332 = 223112834397
BaseRepresentation
bin10011100101001…
…01001001111100
3102110001222120210
421302211021330
5314022114312
624144312420
74033065414
oct1162451174
9373058523
10164254332
1184798790
1247012710
1328050018
1417b59644
15e647e3c
hex9ca527c

164254332 has 48 divisors (see below), whose sum is σ = 419674752. Its totient is φ = 49586880.

The previous prime is 164254313. The next prime is 164254361. The reversal of 164254332 is 233452461.

164254332 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 164254332.

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, 35158 + ... + 39554.

It is an arithmetic number, because the mean of its divisors is an integer number (8743224).

Almost surely, 2164254332 is an apocalyptic number.

164254332 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 164254332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209837376).

164254332 is an abundant number, since it is smaller than the sum of its proper divisors (255420420).

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

164254332 is a wasteful number, since it uses less digits than its factorization.

164254332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4696 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 164254332 is about 12816.1746242785. The cubic root of 164254332 is about 547.6531762151.

The spelling of 164254332 in words is "one hundred sixty-four million, two hundred fifty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 849 1132 1698 3113 3396 4397 6226 8794 9339 12452 13191 17588 18678 26382 37356 48367 52764 96734 145101 193468 290202 580404 1244351 2488702 3733053 4977404 7466106 13687861 14932212 27375722 41063583 54751444 82127166 164254332