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230413986 = 232113173671
BaseRepresentation
bin11011011101111…
…01011010100010
3121001120020120100
431232331122202
5432441221421
634510323230
75465325615
oct1556753242
9531506510
10230413986
11109076490
12651b9516
133897584a
142285c17c
1515365c26
hexdbbd6a2

230413986 has 48 divisors (see below), whose sum is σ = 546481728. Its totient is φ = 69583200.

The previous prime is 230413927. The next prime is 230413999. The reversal of 230413986 is 689314032.

230413986 is a `hidden beast` number, since 230 + 413 + 9 + 8 + 6 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 230413986.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60931 + ... + 64601.

It is an arithmetic number, because the mean of its divisors is an integer number (11385036).

Almost surely, 2230413986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230413986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273240864).

230413986 is an abundant number, since it is smaller than the sum of its proper divisors (316067742).

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

230413986 is a wasteful number, since it uses less digits than its factorization.

230413986 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4007 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 230413986 is about 15179.3934661435. The cubic root of 230413986 is about 613.0599502978.

It can be divided in two parts, 2304 and 13986, that added together give a triangular number (16290 = T180).

The spelling of 230413986 in words is "two hundred thirty million, four hundred thirteen thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 317 634 951 1902 2853 3487 3671 5706 6974 7342 10461 11013 20922 22026 31383 33039 40381 62766 66078 80762 121143 242286 363429 726858 1163707 2327414 3491121 6982242 10473363 12800777 20946726 25601554 38402331 76804662 115206993 230413986