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230004312 = 23353732477
BaseRepresentation
bin11011011010110…
…01011001011000
3121000210102121020
431231121121120
5432340114222
634453442440
75462001336
oct1555313130
9530712536
10230004312
1110891670a
1265040420
1338861235
1422792b56
15152d465c
hexdb59658

230004312 has 64 divisors (see below), whose sum is σ = 594125280. Its totient is φ = 74161152.

The previous prime is 230004293. The next prime is 230004337. The reversal of 230004312 is 213400032.

It is a junction number, because it is equal to n+sod(n) for n = 230004291 and 230004300.

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, 91618 + ... + 94094.

Almost surely, 2230004312 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 230004312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297062640).

230004312 is an abundant number, since it is smaller than the sum of its proper divisors (364120968).

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

230004312 is a wasteful number, since it uses less digits than its factorization.

230004312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230004312 is about 15165.8930498669. The cubic root of 230004312 is about 612.6963963835.

Adding to 230004312 its reverse (213400032), we get a palindrome (443404344).

The spelling of 230004312 in words is "two hundred thirty million, four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 73 106 146 159 212 219 292 318 424 438 584 636 876 1272 1752 2477 3869 4954 7431 7738 9908 11607 14862 15476 19816 23214 29724 30952 46428 59448 92856 131281 180821 262562 361642 393843 525124 542463 723284 787686 1050248 1084926 1446568 1575372 2169852 3150744 4339704 9583513 19167026 28750539 38334052 57501078 76668104 115002156 230004312