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164242232 = 237111914033
BaseRepresentation
bin10011100101000…
…10001100111000
3102110001100222122
421302202030320
5314021222412
624144140412
74033015220
oct1162421470
9373040878
10164242232
118478a690
1247007708
132804766b
1417b55080
15e644572
hex9ca2338

164242232 has 64 divisors (see below), whose sum is σ = 404179200. Its totient is φ = 60618240.

The previous prime is 164242217. The next prime is 164242271. The reversal of 164242232 is 232242461.

It is a happy number.

164242232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 4688 + ... + 18720.

It is an arithmetic number, because the mean of its divisors is an integer number (6315300).

Almost surely, 2164242232 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 164242232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202089600).

164242232 is an abundant number, since it is smaller than the sum of its proper divisors (239936968).

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

164242232 is a wasteful number, since it uses less digits than its factorization.

164242232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14076 (or 14072 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 164242232 is about 12815.7025558492. The cubic root of 164242232 is about 547.6397280337.

Adding to 164242232 its reverse (232242461), we get a palindrome (396484693).

The spelling of 164242232 in words is "one hundred sixty-four million, two hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 532 616 836 1064 1463 1672 2926 5852 11704 14033 28066 56132 98231 112264 154363 196462 266627 308726 392924 533254 617452 785848 1066508 1080541 1234904 1866389 2133016 2161082 2932897 3732778 4322164 5865794 7465556 8644328 11731588 14931112 20530279 23463176 41060558 82121116 164242232