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231300420 = 2235132312893
BaseRepresentation
bin11011100100101…
…01110101000100
3121010020021112020
431302111311010
5433203103140
634541323140
75506010151
oct1562256504
9533207466
10231300420
1110962147a
12655664b0
1338bc6170
1422a0d228
151548d6d0
hexdc95d44

231300420 has 96 divisors (see below), whose sum is σ = 727840512. Its totient is φ = 54455808.

The previous prime is 231300389. The next prime is 231300437. The reversal of 231300420 is 24003132.

231300420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231300420.

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, 11494 + ... + 24386.

It is an arithmetic number, because the mean of its divisors is an integer number (7581672).

Almost surely, 2231300420 is an apocalyptic number.

231300420 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 231300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363920256).

231300420 is an abundant number, since it is smaller than the sum of its proper divisors (496540092).

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

231300420 is a wasteful number, since it uses less digits than its factorization.

231300420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12941 (or 12939 counting only the distinct ones).

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

The square root of 231300420 is about 15208.5640347799. The cubic root of 231300420 is about 613.8451193273.

Adding to 231300420 its reverse (24003132), we get a palindrome (255303552).

The spelling of 231300420 in words is "two hundred thirty-one million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 690 780 897 1196 1380 1495 1794 2990 3588 4485 5980 8970 12893 17940 25786 38679 51572 64465 77358 128930 154716 167609 193395 257860 296539 335218 386790 502827 593078 670436 773580 838045 889617 1005654 1186156 1482695 1676090 1779234 2011308 2514135 2965390 3352180 3558468 3855007 4448085 5028270 5930780 7710014 8896170 10056540 11565021 15420028 17792340 19275035 23130042 38550070 46260084 57825105 77100140 115650210 231300420