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233231464132332 = 2233121311061145511
BaseRepresentation
bin110101000001111101101110…
…100100011110111011101100
31010120210201011202012022100120
4311001331232210132323230
5221032231014304213312
62144013015551524540
7100061263050644301
oct6501755644367354
91116721152168316
10233231464132332
11683509aa197626
12221a99a1529750
13a01a82c056873
14418466aa3b0a8
151be6d43e6c28c
hexd41f6e91eeec

233231464132332 has 144 divisors (see below), whose sum is σ = 567158620799232. Its totient is φ = 74590754160000.

The previous prime is 233231464132283. The next prime is 233231464132333.

233231464132332 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2332314641323322 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (233231464132333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602771457 + ... + 1602916967.

It is an arithmetic number, because the mean of its divisors is an integer number (3938601533328).

Almost surely, 2233231464132332 is an apocalyptic number.

It is an amenable number.

233231464132332 is an abundant number, since it is smaller than the sum of its proper divisors (333927156666900).

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

233231464132332 is a wasteful number, since it uses less digits than its factorization.

233231464132332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146772 (or 146739 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 42.

The spelling of 233231464132332 in words is "two hundred thirty-three trillion, two hundred thirty-one billion, four hundred sixty-four million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 31 62 93 124 131 186 262 372 393 524 786 961 1061 1572 1922 2122 2883 3183 3844 4061 4244 5766 6366 8122 11532 12183 12732 16244 24366 32891 48732 65782 98673 125891 131564 138991 145511 197346 251782 277982 291022 377673 394692 416973 436533 503564 555964 582044 755346 833946 873066 1019621 1510692 1667892 1746132 2039242 3058863 4078484 4308721 4510841 6117726 8617442 9021682 12235452 12926163 13532523 17234884 18043364 19061941 25852326 27065046 38123882 51704652 54130092 57185823 76247764 114371646 133570351 139836071 154387171 228743292 267140702 279672142 308774342 400711053 419508213 463161513 534281404 559344284 590920171 617548684 801422106 839016426 926323026 1181840342 1602844212 1678032852 1772760513 1852646052 2363680684 3545521026 4786002301 7091042052 9572004602 14358006903 18318525301 19144009204 20224719401 28716013806 36637050602 40449438802 54955575903 57432027612 60674158203 73274101204 80898877604 109911151806 121348316406 148366071331 219822303612 242696632812 296732142662 445098213993 593464285324 626966301431 890196427986 1253932602862 1780392855972 1880898904293 2507865205724 3761797808586 7523595617172 19435955344361 38871910688722 58307866033083 77743821377444 116615732066166 233231464132332