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231025032 = 233273671249
BaseRepresentation
bin11011100010100…
…10100110001000
3121002201021202200
431301102212020
5433120300112
634531400200
75503452240
oct1561224610
9532637680
10231025032
11109453587
1265453060
1338b2aa04
142297ab20
1515436cdc
hexdc52988

231025032 has 96 divisors (see below), whose sum is σ = 717600000. Its totient is φ = 65774592.

The previous prime is 231025031. The next prime is 231025033. The reversal of 231025032 is 230520132.

It is an interprime number because it is at equal distance from previous prime (231025031) and next prime (231025033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231024996 and 231025014.

It is not an unprimeable number, because it can be changed into a prime (231025031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184344 + ... + 185592.

It is an arithmetic number, because the mean of its divisors is an integer number (7475000).

Almost surely, 2231025032 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 231025032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358800000).

231025032 is an abundant number, since it is smaller than the sum of its proper divisors (486574968).

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

231025032 is a wasteful number, since it uses less digits than its factorization.

231025032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 231025032 is about 15199.5076236041. The cubic root of 231025032 is about 613.6014063917.

Adding to 231025032 its reverse (230520132), we get a palindrome (461545164).

The spelling of 231025032 in words is "two hundred thirty-one million, twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 367 504 734 1101 1249 1468 2202 2498 2569 2936 3303 3747 4404 4996 5138 6606 7494 7707 8743 8808 9992 10276 11241 13212 14988 15414 17486 20552 22482 23121 26229 26424 29976 30828 34972 44964 46242 52458 61656 69944 78687 89928 92484 104916 157374 184968 209832 314748 458383 629496 916766 1375149 1833532 2750298 3208681 3667064 4125447 5500596 6417362 8250894 9626043 11001192 12834724 16501788 19252086 25669448 28878129 33003576 38504172 57756258 77008344 115512516 231025032