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232263140304 = 24313618373517
BaseRepresentation
bin1101100001001111110…
…1100100001111010000
3211012111211002000201210
43120103331210033100
512301133330442204
6254411125100120
722531461055356
oct3302375441720
9735454060653
10232263140304
118a558540018
1239020557640
1318b96522040
14b354d217d6
156095add389
hex3613f643d0

232263140304 has 160 divisors (see below), whose sum is σ = 664682707584. Its totient is φ = 69446154240.

The previous prime is 232263140299. The next prime is 232263140311. The reversal of 232263140304 is 403041362232.

232263140304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3122554 + ... + 3196070.

Almost surely, 2232263140304 is an apocalyptic number.

232263140304 is a gapful number since it is divisible by the number (24) 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 232263140304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332341353792).

232263140304 is an abundant number, since it is smaller than the sum of its proper divisors (432419567280).

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

232263140304 is a wasteful number, since it uses less digits than its factorization.

232263140304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73685 (or 73679 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The spelling of 232263140304 in words is "two hundred thirty-two billion, two hundred sixty-three million, one hundred forty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 83 104 122 156 166 183 208 244 249 312 332 366 488 498 624 664 732 793 976 996 1079 1328 1464 1586 1992 2158 2379 2928 3172 3237 3984 4316 4758 5063 6344 6474 8632 9516 10126 12688 12948 15189 17264 19032 20252 25896 30378 38064 40504 51792 60756 65819 73517 81008 121512 131638 147034 197457 220551 243024 263276 294068 394914 441102 526552 588136 789828 882204 955721 1053104 1176272 1579656 1764408 1911442 2867163 3159312 3528816 3822884 4484537 5734326 6101911 7645768 8969074 11468652 12203822 13453611 15291536 17938148 18305733 22937304 24407644 26907222 35876296 36611466 45874608 48815288 53814444 58298981 71752592 73222932 79324843 97630576 107628888 116597962 146445864 158649686 174896943 215257776 233195924 237974529 292891728 317299372 349793886 372216571 466391848 475949058 634598744 699587772 744433142 932783696 951898116 1116649713 1269197488 1399175544 1488866284 1903796232 2233299426 2798351088 2977732568 3807592464 4466598852 4838815423 5955465136 8933197704 9677630846 14516446269 17866395408 19355261692 29032892538 38710523384 58065785076 77421046768 116131570152 232263140304