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233203324424140 = 225722938921094103
BaseRepresentation
bin110101000001100011100001…
…010100000000111111001100
31010120201000112122101000121001
4311001203201110000333030
5221031300402023033030
62143552043412150044
7100056245530243600
oct6501434124007714
91116630478330531
10233203324424140
116833aa7a048344
12221a4449608324
13a017c96201565
14418315b6c1500
151be624880acca
hexd418e1500fcc

233203324424140 has 144 divisors (see below), whose sum is σ = 590841634219200. Its totient is φ = 76999884907008.

The previous prime is 233203324424117. The next prime is 233203324424167. The reversal of 233203324424140 is 41424423302332.

It is a super-2 number, since 2×2332033244241402 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233203324424140.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 508329 + ... + 21602431.

It is an arithmetic number, because the mean of its divisors is an integer number (4103066904300).

Almost surely, 2233203324424140 is an apocalyptic number.

233203324424140 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 233203324424140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295420817109600).

233203324424140 is an abundant number, since it is smaller than the sum of its proper divisors (357638309795060).

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

233203324424140 is a wasteful number, since it uses less digits than its factorization.

233203324424140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21094544 (or 21094535 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 37.

Adding to 233203324424140 its reverse (41424423302332), we get a palindrome (274627747726472).

The spelling of 233203324424140 in words is "two hundred thirty-three trillion, two hundred three billion, three hundred twenty-four million, four hundred twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 389 406 490 580 778 812 980 1015 1421 1556 1945 2030 2723 2842 3890 4060 5446 5684 7105 7780 10892 11281 13615 14210 19061 22562 27230 28420 38122 45124 54460 56405 76244 78967 95305 112810 157934 190610 225620 315868 381220 394835 552769 789670 1105538 1579340 2211076 2763845 5527690 11055380 21094103 42188206 84376412 105470515 147658721 210941030 295317442 421882060 590634884 611728987 738293605 1033611047 1223457974 1476587210 2067222094 2446915948 2953174420 3058644935 4134444188 4282102909 5168055235 6117289870 8205606067 8564205818 10336110470 12234579740 16411212134 17128411636 20672220940 21410514545 29974720363 32822424268 41028030335 42821029090 57439242469 59949440726 82056060670 85642058180 114878484938 119898881452 149873601815 164112121340 229756969876 237962575943 287196212345 299747203630 402074697283 475925151886 574392424690 599494407260 804149394566 951850303772 1148784849380 1189812879715 1608298789132 1665738031601 2010373486415 2379625759430 3331476063202 4020746972830 4759251518860 6662952126404 8041493945660 8328690158005 11660166221207 16657380316010 23320332442414 33314760632020 46640664884828 58300831106035 116601662212070 233203324424140