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230012302032 = 24328946738431
BaseRepresentation
bin1101011000110111001…
…1010011001011010000
3210222200221201121002100
43112031303103023100
512232031122131112
6253355521520400
722421630210562
oct3261563231320
9728627647070
10230012302032
1189602a479a7
12386b27a3100
13188c8100886
14b1c000d332
155eb31cd2dc
hex358dcd32d0

230012302032 has 120 divisors (see below), whose sum is σ = 652358603520. Its totient is φ = 75644997120.

The previous prime is 230012302007. The next prime is 230012302043. The reversal of 230012302032 is 230203210032.

It is a happy number.

230012302032 is a `hidden beast` number, since 230 + 0 + 1 + 230 + 203 + 2 = 666.

230012302032 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 230012301996 and 230012302014.

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 23 ways as a sum of consecutive naturals, for example, 5965857 + ... + 6004287.

It is an arithmetic number, because the mean of its divisors is an integer number (5436321696).

Almost surely, 2230012302032 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 230012302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326179301760).

230012302032 is an abundant number, since it is smaller than the sum of its proper divisors (422346301488).

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

230012302032 is a wasteful number, since it uses less digits than its factorization.

230012302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39001 (or 38992 counting only the distinct ones).

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

Adding to 230012302032 its reverse (230203210032), we get a palindrome (460215512064).

The spelling of 230012302032 in words is "two hundred thirty billion, twelve million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 89 144 178 267 356 467 534 712 801 934 1068 1401 1424 1602 1868 2136 2802 3204 3736 4203 4272 5604 6408 7472 8406 11208 12816 16812 22416 33624 38431 41563 67248 76862 83126 115293 124689 153724 166252 230586 249378 307448 332504 345879 374067 461172 498756 614896 665008 691758 748134 922344 997512 1383516 1496268 1844688 1995024 2767032 2992536 3420359 5534064 5985072 6840718 10261077 13681436 17947277 20522154 27362872 30783231 35894554 41044308 53841831 54725744 61566462 71789108 82088616 107683662 123132924 143578216 161525493 164177232 215367324 246265848 287156432 323050986 430734648 492531696 646101972 861469296 1292203944 1597307653 2584407888 3194615306 4791922959 6389230612 9583845918 12778461224 14375768877 19167691836 25556922448 28751537754 38335383672 57503075508 76670767344 115006151016 230012302032