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232312164 = 223719247163
BaseRepresentation
bin11011101100011…
…00110101100100
3121012010200101020
431312030311210
5433432442124
635015131140
75520422640
oct1566146544
9535120336
10232312164
1110a152627
1265973ab0
133918b826
1422bd3c20
15155dd379
hexdd8cd64

232312164 has 144 divisors (see below), whose sum is σ = 671827968. Its totient is φ = 61166016.

The previous prime is 232312163. The next prime is 232312177. The reversal of 232312164 is 461213232.

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

It is not an unprimeable number, because it can be changed into a prime (232312163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1425147 + ... + 1425309.

It is an arithmetic number, because the mean of its divisors is an integer number (4665472).

Almost surely, 2232312164 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 232312164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335913984).

232312164 is an abundant number, since it is smaller than the sum of its proper divisors (439515804).

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

232312164 is a wasteful number, since it uses less digits than its factorization.

232312164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 232312164 is about 15241.7900523528. The cubic root of 232312164 is about 614.7388355045.

Adding to 232312164 its reverse (461213232), we get a palindrome (693525396).

The spelling of 232312164 in words is "two hundred thirty-two million, three hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 47 57 76 84 94 114 133 141 163 188 228 266 282 326 329 361 399 489 532 564 652 658 722 798 893 978 987 1083 1141 1316 1444 1596 1786 1956 1974 2166 2282 2527 2679 3097 3423 3572 3948 4332 4564 5054 5358 6194 6251 6846 7581 7661 9291 10108 10716 12388 12502 13692 15162 15322 16967 18582 18753 21679 22983 25004 30324 30644 33934 37164 37506 43358 45966 50901 53627 58843 65037 67868 75012 86716 91932 101802 107254 117686 118769 130074 145559 160881 176529 203604 214508 235372 237538 260148 291118 321762 353058 356307 411901 436677 475076 582236 643524 706116 712614 823802 873354 1018913 1235703 1425228 1647604 1746708 2037826 2471406 2765621 3056739 4075652 4942812 5531242 6113478 8296863 11062484 12226956 16593726 19359347 33187452 38718694 58078041 77437388 116156082 232312164