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204300232213240 = 235232911783649871
BaseRepresentation
bin101110011100111101011010…
…110001001100001011111000
3222210100220121110012102221001
4232130331122301030023320
5203234223333421310430
62002302121521454344
761014130131114652
oct5634753261141370
9883326543172831
10204300232213240
115a107272a96489
121aab69064a13b4
1389cc57703b9a7
143864280c716d2
1518944b7cc73ca
hexb9cf5ac4c2f8

204300232213240 has 128 divisors (see below), whose sum is σ = 496244338790400. Its totient is φ = 75465108759040.

The previous prime is 204300232213201. The next prime is 204300232213247. The reversal of 204300232213240 is 42312232003402.

It is a junction number, because it is equal to n+sod(n) for n = 204300232213199 and 204300232213208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204300232213247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314045505 + ... + 314695375.

It is an arithmetic number, because the mean of its divisors is an integer number (3876908896800).

Almost surely, 2204300232213240 is an apocalyptic number.

204300232213240 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 204300232213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248122169395200).

204300232213240 is an abundant number, since it is smaller than the sum of its proper divisors (291944106577160).

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

204300232213240 is a wasteful number, since it uses less digits than its factorization.

204300232213240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661717 (or 661713 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 204300232213240 its reverse (42312232003402), we get a palindrome (246612464216642).

The spelling of 204300232213240 in words is "two hundred four trillion, three hundred billion, two hundred thirty-two million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 2668 3335 5336 6670 11783 13340 23566 26680 47132 58915 94264 117830 235660 271009 341707 471320 542018 649871 683414 1084036 1299742 1355045 1366828 1708535 2168072 2599484 2710090 2733656 3249355 3417070 5198968 5420180 6498710 6834140 7859261 10840360 12997420 13668280 14947033 15718522 18846259 25994840 29894066 31437044 37692518 39296305 59788132 62874088 74735165 75385036 78592610 94231295 119576264 149470330 150770072 157185220 188462590 298940660 314370440 376925180 433463957 597881320 753850360 866927914 1733855828 2167319785 3467711656 4334639570 7657429993 8669279140 15314859986 17338558280 30629719972 38287149965 61259439944 76574299930 153148599860 176120889839 222065469797 306297199720 352241779678 444130939594 704483559356 880604449195 888261879188 1110327348985 1408967118712 1761208898390 1776523758376 2220654697970 3522417796780 4441309395940 5107505805331 7044835593560 8882618791880 10215011610662 20430023221324 25537529026655 40860046442648 51075058053310 102150116106620 204300232213240