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230412390 = 2351317231511
BaseRepresentation
bin11011011101111…
…01000001100110
3121001120011101020
431232331001212
5432441144030
634510312010
75465321145
oct1556750146
9531504336
10230412390
1110907526a
12651b8606
1338974bc0
142285b75c
1515365510
hexdbbd066

230412390 has 128 divisors (see below), whose sum is σ = 658409472. Its totient is φ = 51025920.

The previous prime is 230412389. The next prime is 230412419. The reversal of 230412390 is 93214032.

It is a self number, because there is not a number n which added to its sum of digits gives 230412390.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151735 + ... + 153245.

It is an arithmetic number, because the mean of its divisors is an integer number (5143824).

Almost surely, 2230412390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230412390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329204736).

230412390 is an abundant number, since it is smaller than the sum of its proper divisors (427997082).

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

230412390 is a wasteful number, since it uses less digits than its factorization.

230412390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 230412390 is about 15179.3408947820. The cubic root of 230412390 is about 613.0585348080.

The spelling of 230412390 in words is "two hundred thirty million, four hundred twelve thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 17 23 26 30 34 39 46 51 65 69 78 85 102 115 130 138 170 195 221 230 255 299 345 390 391 442 510 598 663 690 782 897 1105 1173 1326 1495 1511 1794 1955 2210 2346 2990 3022 3315 3910 4485 4533 5083 5865 6630 7555 8970 9066 10166 11730 15110 15249 19643 22665 25415 25687 30498 34753 39286 45330 50830 51374 58929 69506 76245 77061 98215 104259 117858 128435 152490 154122 173765 196430 208518 256870 294645 333931 347530 385305 451789 521295 589290 590801 667862 770610 903578 1001793 1042590 1181602 1355367 1669655 1772403 2003586 2258945 2710734 2954005 3339310 3544806 4517890 5008965 5908010 6776835 7680413 8862015 10017930 13553670 15360826 17724030 23041239 38402065 46082478 76804130 115206195 230412390