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231803320 = 23572227521
BaseRepresentation
bin11011101000100…
…00100110111000
3121011011211101011
431310100212320
5433320201240
635000203304
75513203300
oct1564204670
9534154334
10231803320
111099352a1
1265769534
1339041038
1422b00600
151553c6ea
hexdd109b8

231803320 has 96 divisors (see below), whose sum is σ = 610552080. Its totient is φ = 78973440.

The previous prime is 231803311. The next prime is 231803329. The reversal of 231803320 is 23308132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231803311) and next prime (231803329).

It is a junction number, because it is equal to n+sod(n) for n = 231803291 and 231803300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231803329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444660 + ... + 445180.

Almost surely, 2231803320 is an apocalyptic number.

231803320 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 231803320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305276040).

231803320 is an abundant number, since it is smaller than the sum of its proper divisors (378748760).

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

231803320 is a wasteful number, since it uses less digits than its factorization.

231803320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 231803320 is about 15225.0885054899. The cubic root of 231803320 is about 614.2896771745.

The spelling of 231803320 in words is "two hundred thirty-one million, eight hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 227 245 280 392 454 490 521 908 980 1042 1135 1589 1816 1960 2084 2270 2605 3178 3647 4168 4540 5210 6356 7294 7945 9080 10420 11123 12712 14588 15890 18235 20840 22246 25529 29176 31780 36470 44492 51058 55615 63560 72940 88984 102116 111230 118267 127645 145880 204232 222460 236534 255290 444920 473068 510580 591335 827869 946136 1021160 1182670 1655738 2365340 3311476 4139345 4730680 5795083 6622952 8278690 11590166 16557380 23180332 28975415 33114760 46360664 57950830 115901660 231803320