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204240202230320 = 245171391891957107
BaseRepresentation
bin101110011100000101100000…
…101100111110101000110000
3222210011011122212012100100022
4232130011200230332220300
5203232232413232332240
62002214353102543012
761006603415512334
oct5634054054765060
9883134585170308
10204240202230320
115a09386869a853
121aaa7152597a68
1389c69cb314539
1438613c84157c4
151892b52b009b5
hexb9c160b3ea30

204240202230320 has 160 divisors (see below), whose sum is σ = 506444160499200. Its totient is φ = 76331888898048.

The previous prime is 204240202230319. The next prime is 204240202230341. The reversal of 204240202230320 is 23032202042402.

It is a self number, because there is not a number n which added to its sum of digits gives 204240202230320.

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, 3576419207 + ... + 3576476313.

It is an arithmetic number, because the mean of its divisors is an integer number (3165276003120).

Almost surely, 2204240202230320 is an apocalyptic number.

204240202230320 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 204240202230320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253222080249600).

204240202230320 is an abundant number, since it is smaller than the sum of its proper divisors (302203958268880).

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

204240202230320 is a wasteful number, since it uses less digits than its factorization.

204240202230320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76195 (or 76189 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 204240202230320 its reverse (23032202042402), we get a palindrome (227272404272722).

The spelling of 204240202230320 in words is "two hundred four trillion, two hundred forty billion, two hundred two million, two hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 139 170 272 278 340 556 680 695 1112 1360 1390 2224 2363 2780 4726 5560 9452 11120 11815 18904 18919 23630 37808 37838 47260 57107 75676 94520 94595 114214 151352 189040 189190 228428 285535 302704 321623 378380 456856 571070 643246 756760 913712 970819 1142140 1286492 1513520 1608115 1941638 2284280 2572984 2629741 3216230 3883276 4568560 4854095 5145968 5259482 6432460 7766552 7937873 9708190 10518964 12864920 13148705 15533104 15875746 19416380 21037928 25729840 26297410 31751492 38832760 39689365 42075856 44705597 52594820 63502984 77665520 79378730 89411194 105189640 127005968 134943841 158757460 178822388 210379280 223527985 269887682 317514920 357644776 447055970 539775364 635029840 674719205 715289552 894111940 1079550728 1080407333 1349438410 1788223880 2159101456 2160814666 2698876820 3576447760 4321629332 5397753640 5402036665 8643258664 10795507280 10804073330 17286517328 18366924661 21608146660 36733849322 43216293320 73467698644 86432586640 91834623305 146935397288 150176619287 183669246610 293870794576 300353238574 367338493220 600706477148 734676986440 750883096435 1201412954296 1469353972880 1501766192870 2402825908592 2553002527879 3003532385740 5106005055758 6007064771480 10212010111516 12014129542960 12765012639395 20424020223032 25530025278790 40848040446064 51060050557580 102120101115160 204240202230320