Search a number
-
+
200212220101720 = 23529176819761707
BaseRepresentation
bin101101100001011110001010…
…010000100100010001011000
3222020220002201212012020012211
4231201132022100210101120
5202220234111321223340
61545452120230444504
760112566312364321
oct5541361220442130
9866802655166184
10200212220101720
11588805867a8872
121a556577503734
138793c15217678
143762474a59448
151822ea525e5ea
hexb6178a424458

200212220101720 has 64 divisors (see below), whose sum is σ = 466037606311200. Its totient is φ = 77318959011840.

The previous prime is 200212220101639. The next prime is 200212220101721. The reversal of 200212220101720 is 27101022212002.

It is a junction number, because it is equal to n+sod(n) for n = 200212220101691 and 200212220101700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200212220101721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15629107 + ... + 25390813.

Almost surely, 2200212220101720 is an apocalyptic number.

200212220101720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212220101720 is an abundant number, since it is smaller than the sum of its proper divisors (265825386209480).

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

200212220101720 is a wasteful number, since it uses less digits than its factorization.

200212220101720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9779428 (or 9779424 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

Adding to 200212220101720 its reverse (27101022212002), we get a palindrome (227313242313722).

The spelling of 200212220101720 in words is "two hundred trillion, two hundred twelve billion, two hundred twenty million, one hundred one thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 17681 35362 70724 88405 141448 176810 353620 512749 707240 1025498 2050996 2563745 4101992 5127490 9761707 10254980 19523414 20509960 39046828 48808535 78093656 97617070 195234140 283089503 390468280 566179006 1132358012 1415447515 2264716024 2830895030 5661790060 11323580120 172596741467 345193482934 690386965868 862983707335 1380773931736 1725967414670 3451934829340 5005305502543 6903869658680 10010611005086 20021222010172 25026527512715 40042444020344 50053055025430 100106110050860 200212220101720