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231000616 = 23711273467
BaseRepresentation
bin11011100010011…
…00101000101000
3121002200001021101
431301030220220
5433114004431
634531051144
75503321120
oct1561145050
9532601241
10231000616
11109437200
1265440ab4
1338b1c872
1422971c80
151542e961
hexdc4ca28

231000616 has 96 divisors (see below), whose sum is σ = 552726720. Its totient is φ = 88577280.

The previous prime is 231000611. The next prime is 231000619. The reversal of 231000616 is 616000132.

It is a super-2 number, since 2×2310006162 = 106722569184758912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231000593 and 231000602.

It is not an unprimeable number, because it can be changed into a prime (231000611) 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, 494415 + ... + 494881.

It is an arithmetic number, because the mean of its divisors is an integer number (5757570).

Almost surely, 2231000616 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 231000616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276363360).

231000616 is an abundant number, since it is smaller than the sum of its proper divisors (321726104).

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

231000616 is a wasteful number, since it uses less digits than its factorization.

231000616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 231000616 is about 15198.7044184694. The cubic root of 231000616 is about 613.5797893695.

Adding to 231000616 its reverse (616000132), we get a palindrome (847000748).

The spelling of 231000616 in words is "two hundred thirty-one million, six hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 22 28 44 56 73 77 88 121 146 154 242 292 308 467 484 511 584 616 803 847 934 968 1022 1606 1694 1868 2044 3212 3269 3388 3736 4088 5137 5621 6424 6538 6776 8833 10274 11242 13076 17666 20548 22484 26152 34091 35332 35959 41096 44968 56507 61831 68182 70664 71918 113014 123662 136364 143836 226028 238637 247324 272728 287672 375001 395549 452056 477274 494648 750002 791098 954548 1500004 1582196 1909096 2625007 3000008 3164392 4125011 5250014 8250022 10500028 16500044 21000056 28875077 33000088 57750154 115500308 231000616