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232445205242000 = 24531992797208807
BaseRepresentation
bin110100110110100001011101…
…111000110110000010010000
31010111000112201000101021011122
4310312201131320312002100
5220431340240020221000
62142211504135101412
766650416606440422
oct6466413570660220
91114015630337148
10232445205242000
1168078504585a13
12220a1530b11868
139c91647b82c1a
14415859d63a812
151bd16771c0085
hexd3685de36090

232445205242000 has 160 divisors (see below), whose sum is σ = 565081555084800. Its totient is φ = 92477337638400.

The previous prime is 232445205241979. The next prime is 232445205242021. The reversal of 232445205242000 is 242502544232.

It is an interprime number because it is at equal distance from previous prime (232445205241979) and next prime (232445205242021).

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, 1113101597 + ... + 1113310403.

It is an arithmetic number, because the mean of its divisors is an integer number (3531759719280).

Almost surely, 2232445205242000 is an apocalyptic number.

232445205242000 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 232445205242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282540777542400).

232445205242000 is an abundant number, since it is smaller than the sum of its proper divisors (332636349842800).

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

232445205242000 is a wasteful number, since it uses less digits than its factorization.

232445205242000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211826 (or 211810 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 232445205242000 its reverse (242502544232), we get a palindrome (232687707786232).

The spelling of 232445205242000 in words is "two hundred thirty-two trillion, four hundred forty-five billion, two hundred five million, two hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 199 200 250 398 400 500 796 995 1000 1592 1990 2000 2797 3184 3980 4975 5594 7960 9950 11188 13985 15920 19900 22376 24875 27970 39800 44752 49750 55940 69925 79600 99500 111880 139850 199000 208807 223760 279700 349625 398000 417614 556603 559400 699250 835228 1044035 1113206 1118800 1398500 1670456 2088070 2226412 2783015 2797000 3340912 4176140 4452824 5220175 5566030 5594000 8352280 8905648 10440350 11132060 13915075 16704560 20880700 22264120 26100875 27830150 41552593 41761400 44528240 52201750 55660300 69575375 83105186 83522800 104403500 111320600 139150750 166210372 207762965 208807000 222641200 278301500 332420744 415525930 417614000 556603000 584033179 664841488 831051860 1038814825 1113206000 1168066358 1662103720 2077629650 2336132716 2920165895 3324207440 4155259300 4672265432 5194074125 5840331790 8310518600 9344530864 10388148250 11680663580 14600829475 16621037200 20776296500 23361327160 29201658950 41552593000 46722654320 58403317900 73004147375 83105186000 116222602621 116806635800 146008294750 232445205242 233613271600 292016589500 464890410484 581113013105 584033179000 929780820968 1162226026210 1168066358000 1859561641936 2324452052420 2905565065525 4648904104840 5811130131050 9297808209680 11622260262100 14527825327625 23244520524200 29055650655250 46489041048400 58111301310500 116222602621000 232445205242000