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230331201232 = 241147271110271
BaseRepresentation
bin1101011010000011001…
…1110011011011010000
3211000112011210100112211
43112200303303123100
512233204241414412
6253451313001504
722432551623056
oct3264063633320
9730464710484
10230331201232
1189756a5a660
1238781553294
13189491b7a22
14b2105021d6
155ed11c1ca7
hex35a0cf36d0

230331201232 has 80 divisors (see below), whose sum is σ = 497426448384. Its totient is φ = 102420656000.

The previous prime is 230331201229. The next prime is 230331201263. The reversal of 230331201232 is 232102133032.

230331201232 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 (22).

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 15 ways as a sum of consecutive naturals, for example, 22420257 + ... + 22430527.

Almost surely, 2230331201232 is an apocalyptic number.

230331201232 is a gapful number since it is divisible by the number (22) 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 230331201232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248713224192).

230331201232 is an abundant number, since it is smaller than the sum of its proper divisors (267095247152).

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

230331201232 is a wasteful number, since it uses less digits than its factorization.

230331201232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13048 (or 13042 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 230331201232 its reverse (232102133032), we get a palindrome (462433334264).

The spelling of 230331201232 in words is "two hundred thirty billion, three hundred thirty-one million, two hundred one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 2068 2711 4136 5422 8272 10271 10844 20542 21688 29821 41084 43376 59642 82168 112981 119284 127417 164336 225962 238568 254834 451924 477136 482737 509668 903848 965474 1019336 1401587 1807696 1930948 2038672 2803174 3861896 5310107 5606348 7723792 10620214 11212696 21240428 22425392 27844681 42480856 55689362 84961712 111378724 222757448 306291491 445514896 612582982 1225165964 1308700007 2450331928 2617400014 4900663856 5234800028 10469600056 14395700077 20939200112 28791400154 57582800308 115165600616 230331201232