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231303420 = 223252973607
BaseRepresentation
bin11011100100101…
…10100011111100
3121010020102122100
431302112203330
5433203202140
634541345100
75506021665
oct1562264374
9533212570
10231303420
11109623757
1265568190
1338bc763a
1422a1036c
151548e530
hexdc968fc

231303420 has 144 divisors (see below), whose sum is σ = 736968960. Its totient is φ = 58641408.

The previous prime is 231303419. The next prime is 231303439. The reversal of 231303420 is 24303132.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 231303393 and 231303402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 380757 + ... + 381363.

It is an arithmetic number, because the mean of its divisors is an integer number (5117840).

Almost surely, 2231303420 is an apocalyptic number.

231303420 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 231303420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368484480).

231303420 is an abundant number, since it is smaller than the sum of its proper divisors (505665540).

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

231303420 is a wasteful number, since it uses less digits than its factorization.

231303420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 231303420 is about 15208.6626631009. The cubic root of 231303420 is about 613.8477732026.

Adding to 231303420 its reverse (24303132), we get a palindrome (255606552).

The spelling of 231303420 in words is "two hundred thirty-one million, three hundred three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 73 87 90 116 145 146 174 180 219 261 290 292 348 365 435 438 522 580 607 657 730 870 876 1044 1095 1214 1305 1314 1460 1740 1821 2117 2190 2428 2610 2628 3035 3285 3642 4234 4380 5220 5463 6070 6351 6570 7284 8468 9105 10585 10926 12140 12702 13140 17603 18210 19053 21170 21852 25404 27315 31755 35206 36420 38106 42340 44311 52809 54630 63510 70412 76212 88015 88622 95265 105618 109260 127020 132933 158427 176030 177244 190530 211236 221555 264045 265866 316854 352060 381060 398799 443110 528090 531732 633708 664665 792135 797598 886220 1056180 1285019 1329330 1584270 1595196 1993995 2570038 2658660 3168540 3855057 3987990 5140076 6425095 7710114 7975980 11565171 12850190 15420228 19275285 23130342 25700380 38550570 46260684 57825855 77101140 115651710 231303420