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230996820 = 223523732293
BaseRepresentation
bin11011100010010…
…11101101010100
3121002122212001210
431301023231110
5433113344240
634531021420
75503304055
oct1561135524
9532585053
10230996820
1110943436a
126543a870
1338b1ac12
142297072c
151542d780
hexdc4bb54

230996820 has 96 divisors (see below), whose sum is σ = 684456192. Its totient is φ = 58088448.

The previous prime is 230996807. The next prime is 230996839. The reversal of 230996820 is 28699032.

It is a super-2 number, since 2×2309968202 = 106719061700224800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99594 + ... + 101886.

It is an arithmetic number, because the mean of its divisors is an integer number (7129752).

Almost surely, 2230996820 is an apocalyptic number.

230996820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230996820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342228096).

230996820 is an abundant number, since it is smaller than the sum of its proper divisors (453459372).

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

230996820 is a wasteful number, since it uses less digits than its factorization.

230996820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2401 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 230996820 is about 15198.5795388911. The cubic root of 230996820 is about 613.5764283948.

The spelling of 230996820 in words is "two hundred thirty million, nine hundred ninety-six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 73 92 115 138 146 219 230 276 292 345 365 438 460 690 730 876 1095 1380 1460 1679 2190 2293 3358 4380 4586 5037 6716 6879 8395 9172 10074 11465 13758 16790 20148 22930 25185 27516 33580 34395 45860 50370 52739 68790 100740 105478 137580 158217 167389 210956 263695 316434 334778 502167 527390 632868 669556 791085 836945 1004334 1054780 1582170 1673890 2008668 2510835 3164340 3347780 3849947 5021670 7699894 10043340 11549841 15399788 19249735 23099682 38499470 46199364 57749205 76998940 115498410 230996820