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233500011435140 = 225195910711972347
BaseRepresentation
bin110101000101110111110101…
…001111001001010010000100
31010121202101100021022202210212
4311011313311033021102010
5221101131010411411030
62144340231400334552
7100116550646235212
oct6505676517112204
91117671307282725
10233500011435140
11684448871389aa
1222231a49474458
13a039c58850938
144193664825cb2
151bedd101ed595
hexd45df53c9484

233500011435140 has 96 divisors (see below), whose sum is σ = 524955905510400. Its totient is φ = 86976271912320.

The previous prime is 233500011435137. The next prime is 233500011435217. The reversal of 233500011435140 is 41534110005332.

233500011435140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 233500011435097 and 233500011435106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239654447 + ... + 240626793.

It is an arithmetic number, because the mean of its divisors is an integer number (5468290682400).

Almost surely, 2233500011435140 is an apocalyptic number.

233500011435140 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 233500011435140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262477952755200).

233500011435140 is an abundant number, since it is smaller than the sum of its proper divisors (291455894075260).

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

233500011435140 is a wasteful number, since it uses less digits than its factorization.

233500011435140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983145 (or 983143 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 233500011435140 in words is "two hundred thirty-three trillion, five hundred billion, eleven million, four hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 59 76 95 118 190 236 295 380 590 1121 1180 2242 4484 5605 10711 11210 21422 22420 42844 53555 107110 203509 214220 407018 631949 814036 972347 1017545 1263898 1944694 2035090 2527796 3159745 3889388 4070180 4861735 6319490 9723470 12007031 12638980 18474593 19446940 24014062 36949186 48028124 57368473 60035155 73898372 92372965 114736946 120070310 184745930 229473892 240140620 286842365 369491860 573684730 1090000987 1147369460 2180001974 4360003948 5450004935 10414808717 10900009870 20829617434 21800019740 41659234868 52074043585 104148087170 197881365623 208296174340 395762731246 614473714303 791525462492 989406828115 1228947428606 1978813656230 2457894857212 3072368571515 3957627312460 6144737143030 11675000571757 12289474286060 23350001143514 46700002287028 58375002858785 116750005717570 233500011435140