Search a number
-
+
200022011122200 = 23352379010000501
BaseRepresentation
bin101101011110101101000000…
…111010111001001000011000
3222020012220202212102220211120
4231132231000322321020120
5202204130034321402300
61545224502100125240
760063053620625451
oct5536550072711030
9866186685386746
10200022011122200
1158807949796233
121a525732996820
13877bcc1506447
14375718d05c128
15181d0716683a0
hexb5eb40eb9218

200022011122200 has 96 divisors (see below), whose sum is σ = 636826835481360. Its totient is φ = 51897602880000.

The previous prime is 200022011122177. The next prime is 200022011122211. The reversal of 200022011122200 is 2221110220002.

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 200022011122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4504978051 + ... + 4505022450.

Almost surely, 2200022011122200 is an apocalyptic number.

200022011122200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200022011122200 is an abundant number, since it is smaller than the sum of its proper divisors (436804824359160).

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

200022011122200 is a wasteful number, since it uses less digits than its factorization.

200022011122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010000557 (or 9010000548 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 200022011122200 its reverse (2221110220002), we get a palindrome (202243121342202).

The spelling of 200022011122200 in words is "two hundred trillion, twenty-two billion, eleven million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 37 40 50 60 74 75 100 111 120 148 150 185 200 222 296 300 370 444 555 600 740 888 925 1110 1480 1850 2220 2775 3700 4440 5550 7400 11100 22200 9010000501 18020001002 27030001503 36040002004 45050002505 54060003006 72080004008 90100005010 108120006012 135150007515 180200010020 216240012024 225250012525 270300015030 333370018537 360400020040 450500025050 540600030060 666740037074 675750037575 901000050100 1000110055611 1081200060120 1333480074148 1351500075150 1666850092685 1802000100200 2000220111222 2666960148296 2703000150300 3333700185370 4000440222444 5000550278055 5406000300600 6667400370740 8000880444888 8334250463425 10001100556110 13334800741480 16668500926850 20002201112220 25002751390275 33337001853700 40004402224440 50005502780550 66674003707400 100011005561100 200022011122200