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40222132200200 = 23521153174423817
BaseRepresentation
bin10010010010100111100011…
…11001101110001100001000
312021102012100112211221212102
421021103301321232030020
520232444411320401300
6221313443100132532
711320644634432526
oct1111236171561410
9167365315757772
1040222132200200
11118a8124046915
12461739a837148
131959c13c44992
149d0a93b11316
1549b40b1d50d5
hex2494f1e6e308

40222132200200 has 48 divisors (see below), whose sum is σ = 93597564976980. Its totient is φ = 16074898882560.

The previous prime is 40222132200197. The next prime is 40222132200227. The reversal of 40222132200200 is 200223122204.

It can be written as a sum of positive squares in 6 ways, for example, as 23950864057444 + 16271268142756 = 4893962^2 + 4033766^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86981309 + ... + 87442508.

Almost surely, 240222132200200 is an apocalyptic number.

40222132200200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40222132200200 is an abundant number, since it is smaller than the sum of its proper divisors (53375432776780).

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

40222132200200 is a wasteful number, since it uses less digits than its factorization.

40222132200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174424986 (or 174424977 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 40222132200200 its reverse (200223122204), we get a palindrome (40422355322404).

The spelling of 40222132200200 in words is "forty trillion, two hundred twenty-two billion, one hundred thirty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1153 2306 4612 5765 9224 11530 23060 28825 46120 57650 115300 230600 174423817 348847634 697695268 872119085 1395390536 1744238170 3488476340 4360595425 6976952680 8721190850 17442381700 34884763400 201110661001 402221322002 804442644004 1005553305005 1608885288008 2011106610010 4022213220020 5027766525025 8044426440040 10055533050050 20111066100100 40222132200200