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230144031 = 33132311627
BaseRepresentation
bin11011011011110…
…11100000011111
3121001001112021000
431231323200133
5432404102111
634500441343
75463122565
oct1555734037
9531045230
10230144031
11108a01687
12650a9253
13388aca00
14227cba35
1515310c56
hexdb7b81f

230144031 has 48 divisors (see below), whose sum is σ = 381342720. Its totient is φ = 136974240.

The previous prime is 230144023. The next prime is 230144039. The reversal of 230144031 is 130441032.

It is an interprime number because it is at equal distance from previous prime (230144023) and next prime (230144039).

It is not a de Polignac number, because 230144031 - 23 = 230144023 is a prime.

It is a super-2 number, since 2×2301440312 = 105932550009857922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230143995 and 230144013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230144039) 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, 140640 + ... + 142266.

It is an arithmetic number, because the mean of its divisors is an integer number (7944640).

Almost surely, 2230144031 is an apocalyptic number.

230144031 is a deficient number, since it is larger than the sum of its proper divisors (151198689).

230144031 is a wasteful number, since it uses less digits than its factorization.

230144031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 230144031 is about 15170.4987063709. The cubic root of 230144031 is about 612.8204346372.

Adding to 230144031 its reverse (130441032), we get a palindrome (360585063).

The spelling of 230144031 in words is "two hundred thirty million, one hundred forty-four thousand, thirty-one".

Divisors: 1 3 9 13 27 31 39 93 117 169 279 351 403 507 837 1209 1521 1627 3627 4563 4881 5239 10881 14643 15717 21151 43929 47151 50437 63453 141453 151311 190359 274963 453933 571077 655681 824889 1361799 1967043 2474667 5901129 7424001 8523853 17703387 25571559 76714677 230144031