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232212313130220 = 223451144312526517
BaseRepresentation
bin110100110011001000100100…
…011011111100010011101100
31010110012021120100210011210000
4310303020210123330103230
5220414031304130131340
62141512510340544300
766624533410236663
oct6463104433742354
91113167510704700
10232212313130220
1167a98763aaa365
12220643759b2090
139c756b1260517
14414b1c8d8ddda
151bca59628ed30
hexd332246fc4ec

232212313130220 has 120 divisors (see below), whose sum is σ = 728522344663344. Its totient is φ = 61917867103104.

The previous prime is 232212313130207. The next prime is 232212313130221. The reversal of 232212313130220 is 22031313212232.

232212313130220 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 123 + 1 + 313 + 0 + 220 = 666.

232212313130220 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 (27).

It is not an unprimeable number, because it can be changed into a prime (232212313130221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12274402 + ... + 24800918.

Almost surely, 2232212313130220 is an apocalyptic number.

232212313130220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232212313130220 is an abundant number, since it is smaller than the sum of its proper divisors (496310031533124).

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

232212313130220 is a wasteful number, since it uses less digits than its factorization.

232212313130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12537981 (or 12537970 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 232212313130220 its reverse (22031313212232), we get a palindrome (254243626342452).

The spelling of 232212313130220 in words is "two hundred thirty-two trillion, two hundred twelve billion, three hundred thirteen million, one hundred thirty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 11443 22886 34329 45772 57215 68658 102987 114430 137316 171645 205974 228860 308961 343290 411948 514935 617922 686580 926883 1029870 1235844 1544805 1853766 2059740 3089610 3707532 4634415 6179220 9268830 12526517 18537660 25053034 37579551 50106068 62632585 75159102 112738653 125265170 150318204 187897755 225477306 250530340 338215959 375795510 450954612 563693265 676431918 751591020 1014647877 1127386530 1352863836 1691079795 2029295754 2254773060 3382159590 4058591508 5073239385 6764319180 10146478770 20292957540 143340934031 286681868062 430022802093 573363736124 716704670155 860045604186 1290068406279 1433409340310 1720091208372 2150114010465 2580136812558 2866818680620 3870205218837 4300228020930 5160273625116 6450342031395 7740410437674 8600456041860 11610615656511 12900684062790 15480820875348 19351026094185 23221231313022 25801368125580 38702052188370 46442462626044 58053078282555 77404104376740 116106156565110 232212313130220