Search a number
-
+
200201223300 = 223521379649793
BaseRepresentation
bin1011101001110011101…
…1000011110010000100
3201010202100220212222020
42322130323003302010
511240003003121200
6231545435003140
720315113214601
oct2723473036204
9633670825866
10200201223300
11779a540a251
1232972b994b0
1315b56c14210
149992b016a8
15531ae70ea0
hex2e9cec3c84

200201223300 has 144 divisors (see below), whose sum is σ = 631703735040. Its totient is φ = 48656424960.

The previous prime is 200201223281. The next prime is 200201223319. The reversal of 200201223300 is 3322102002.

200201223300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200201223281) and next prime (200201223319).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200201223300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16797 + ... + 632996.

Almost surely, 2200201223300 is an apocalyptic number.

200201223300 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 200201223300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315851867520).

200201223300 is an abundant number, since it is smaller than the sum of its proper divisors (431502511740).

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

200201223300 is a wasteful number, since it uses less digits than its factorization.

200201223300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649902 (or 649895 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 200201223300 its reverse (3322102002), we get a palindrome (203523325302).

The spelling of 200201223300 in words is "two hundred billion, two hundred one million, two hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 79 100 130 150 156 158 195 237 260 300 316 325 390 395 474 650 780 790 948 975 1027 1185 1300 1580 1950 1975 2054 2370 3081 3900 3950 4108 4740 5135 5925 6162 7900 10270 11850 12324 15405 20540 23700 25675 30810 51350 61620 77025 102700 154050 308100 649793 1299586 1949379 2599172 3248965 3898758 6497930 7797516 8447309 9746895 12995860 16244825 16894618 19493790 25341927 32489650 33789236 38987580 42236545 48734475 50683854 51333647 64979300 84473090 97468950 101367708 102667294 126709635 154000941 168946180 194937900 205334588 211182725 253419270 256668235 308001882 422365450 506838540 513336470 616003764 633548175 667337411 770004705 844730900 1026672940 1267096350 1283341175 1334674822 1540009410 2002012233 2534192700 2566682350 2669349644 3080018820 3336687055 3850023525 4004024466 5133364700 6673374110 7700047050 8008048932 10010061165 13346748220 15400094100 16683435275 20020122330 33366870550 40040244660 50050305825 66733741100 100100611650 200201223300