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233330140212 = 2231310728034987
BaseRepresentation
bin1101100101001110001…
…1110110010000110100
3211022021011211020102220
43121103203312100310
512310330003441322
6255105042402340
722600065316311
oct3312343662064
9738234736386
10233330140212
118aa55865924
12392799603b0
13190065ba330
14b41690dd08
15610960655c
hex36538f6434

233330140212 has 96 divisors (see below), whose sum is σ = 592126198272. Its totient is φ = 71083287936.

The previous prime is 233330140207. The next prime is 233330140231. The reversal of 233330140212 is 212041033332.

233330140212 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, 46785183 + ... + 46790169.

It is an arithmetic number, because the mean of its divisors is an integer number (6167981232).

Almost surely, 2233330140212 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 233330140212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296063099136).

233330140212 is an abundant number, since it is smaller than the sum of its proper divisors (358796058060).

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

233330140212 is a wasteful number, since it uses less digits than its factorization.

233330140212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7917 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 233330140212 its reverse (212041033332), we get a palindrome (445371173544).

The spelling of 233330140212 in words is "two hundred thirty-three billion, three hundred thirty million, one hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 2803 4173 4987 5564 5606 8346 8409 9974 11212 14961 16692 16818 19948 29922 33636 36439 59844 64831 72878 109317 129662 145756 194493 218634 259324 299921 388986 437268 533609 599842 777972 899763 1067218 1199684 1600827 1799526 2134436 3201654 3599052 3898973 6403308 6936917 7797946 11696919 13873834 13978561 15595892 20810751 23393838 27747668 27957122 41621502 41935683 46787676 55914244 83243004 83871366 167742732 181721293 363442586 545163879 726885172 1090327758 1495706027 2180655516 2991412054 4487118081 5982824108 8974236162 17948472324 19444178351 38888356702 58332535053 77776713404 116665070106 233330140212