Search a number
-
+
231724065232 = 241129433104851
BaseRepresentation
bin1101011111001111010…
…1001010000111010000
3211011010020201011202101
43113303311022013100
512244032330041412
6254241430530144
722512224025052
oct3276365120720
9734106634671
10231724065232
118a301214a30
1238aabb06954
1318b0b9383ca
14b3034b78d2
156063607457
hex35f3d4a1d0

231724065232 has 80 divisors (see below), whose sum is σ = 507844370880. Its totient is φ = 101461248000.

The previous prime is 231724065217. The next prime is 231724065283. The reversal of 231724065232 is 232560427132.

It is a junction number, because it is equal to n+sod(n) for n = 231724065191 and 231724065200.

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, 2157607 + ... + 2262457.

It is an arithmetic number, because the mean of its divisors is an integer number (6348054636).

Almost surely, 2231724065232 is an apocalyptic number.

231724065232 is a gapful number since it is divisible by the number (22) 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 231724065232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253922185440).

231724065232 is an abundant number, since it is smaller than the sum of its proper divisors (276120305648).

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

231724065232 is a wasteful number, since it uses less digits than its factorization.

231724065232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105332 (or 105326 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 231724065232 in words is "two hundred thirty-one billion, seven hundred twenty-four million, sixty-five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 433 464 638 866 1276 1732 2552 3464 4763 5104 6928 9526 12557 19052 25114 38104 50228 76208 100456 104851 138127 200912 209702 276254 419404 552508 838808 1105016 1153361 1677616 2210032 2306722 3040679 4613444 6081358 9226888 12162716 18453776 24325432 33447469 45400483 48650864 66894938 90800966 133789876 181601932 267579752 363203864 499405313 535159504 726407728 998810626 1316614007 1997621252 2633228014 3995242504 5266456028 7990485008 10532912056 14482754077 21065824112 28965508154 57931016308 115862032616 231724065232