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200002234202300 = 22521031071511201813
BaseRepresentation
bin101101011110011010100110…
…000111111011100010111100
3222020011000201120200021221202
4231132122212013323202330
5202203314033423433200
61545211431420115032
760061453544604035
oct5536324607734274
9866130646607852
10200002234202300
11587aa520183632
121a521933695a78
13877a18c10718a
143756234645a8c
15181c7b52b51d5
hexb5e6a61fb8bc

200002234202300 has 144 divisors (see below), whose sum is σ = 445243589586432. Its totient is φ = 77963948064000.

The previous prime is 200002234202291. The next prime is 200002234202333. The reversal of 200002234202300 is 3202432200002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165816194 + ... + 167018006.

It is an arithmetic number, because the mean of its divisors is an integer number (3091969372128).

Almost surely, 2200002234202300 is an apocalyptic number.

200002234202300 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 200002234202300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222621794793216).

200002234202300 is an abundant number, since it is smaller than the sum of its proper divisors (245241355384132).

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

200002234202300 is a wasteful number, since it uses less digits than its factorization.

200002234202300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202188 (or 1202181 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 200002234202300 its reverse (3202432200002), we get a palindrome (203204666402302).

The spelling of 200002234202300 in words is "two hundred trillion, two billion, two hundred thirty-four million, two hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 107 151 206 214 302 412 428 515 535 604 755 1030 1070 1510 2060 2140 2575 2675 3020 3775 5150 5350 7550 10300 10700 11021 15100 15553 16157 22042 31106 32314 44084 55105 62212 64628 77765 80785 110210 155530 161570 220420 275525 311060 323140 388825 403925 551050 777650 807850 1102100 1201813 1555300 1615700 1664171 2403626 3328342 4807252 6009065 6656684 8320855 12018130 16641710 24036260 30045325 33283420 41604275 60090650 83208550 120181300 123786739 128593991 166417100 181473763 247573478 257187982 362947526 495146956 514375964 618933695 642969955 725895052 907368815 1237867390 1285939910 1814737630 2475734780 2571879820 3094668475 3214849775 3629475260 4536844075 6189336950 6429699550 9073688150 12378673900 12859399100 13245181073 18147376300 18691797589 19417692641 26490362146 37383595178 38835385282 52980724292 66225905365 74767190356 77670770564 93458987945 97088463205 132451810730 186917975890 194176926410 264903621460 331129526825 373835951780 388353852820 467294939725 485442316025 662259053650 934589879450 970884632050 1324518107300 1869179758900 1941769264100 2000022342023 4000044684046 8000089368092 10000111710115 20000223420230 40000446840460 50000558550575 100001117101150 200002234202300