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232001020032 = 27331193100981
BaseRepresentation
bin1101100000010001010…
…1101010000010000000
3211011211112211221022120
43120010111222002000
512300114230120112
6254325123004240
722522126063335
oct3300425520200
9734745757276
10232001020032
118a4335891a1
1238b68809680
1318b541279a2
14b32c1ac98c
15607cab2e8c
hex360456a080

232001020032 has 128 divisors (see below), whose sum is σ = 639434181120. Its totient is φ = 74450534400.

The previous prime is 232001020007. The next prime is 232001020049. The reversal of 232001020032 is 230020100232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 232001019993 and 232001020020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2246982 + ... + 2347962.

It is an arithmetic number, because the mean of its divisors is an integer number (4995579540).

Almost surely, 2232001020032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232001020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319717090560).

232001020032 is an abundant number, since it is smaller than the sum of its proper divisors (407433161088).

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

232001020032 is a wasteful number, since it uses less digits than its factorization.

232001020032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101222 (or 101210 counting only the distinct ones).

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

Adding to 232001020032 its reverse (230020100232), we get a palindrome (462021120264).

The spelling of 232001020032 in words is "two hundred thirty-two billion, one million, twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 193 248 372 384 386 496 579 744 772 992 1158 1488 1544 1984 2316 2976 3088 3968 4632 5952 5983 6176 9264 11904 11966 12352 17949 18528 23932 24704 35898 37056 47864 71796 74112 95728 100981 143592 191456 201962 287184 302943 382912 403924 574368 605886 765824 807848 1148736 1211772 1615696 2297472 2423544 3130411 3231392 4847088 6260822 6462784 9391233 9694176 12521644 12925568 18782466 19388352 19489333 25043288 37564932 38776704 38978666 50086576 58467999 75129864 77957332 100173152 116935998 150259728 155914664 200346304 233871996 300519456 311829328 400692608 467743992 601038912 604169323 623658656 935487984 1202077824 1208338646 1247317312 1812507969 1870975968 2416677292 2494634624 3625015938 3741951936 4833354584 7250031876 7483903872 9666709168 14500063752 19333418336 29000127504 38666836672 58000255008 77333673344 116000510016 232001020032