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22000100200 = 2352138461577
BaseRepresentation
bin10100011111010011…
…101110001101101000
32002210020001212220221
4110133103232031220
5330024011201300
614035014255424
71406116523551
oct243723561550
962706055827
1022000100200
11936a5349a1
12431b957574
1320c7b88790
1410c9ba9328
1588b64d31a
hex51f4ee368

22000100200 has 48 divisors (see below), whose sum is σ = 55084872780. Its totient is φ = 8123112960.

The previous prime is 22000100189. The next prime is 22000100237. The reversal of 22000100200 is 200100022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8377008676 + 13623091524 = 91526^2 + 116718^2 .

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 11 ways as a sum of consecutive naturals, for example, 4228189 + ... + 4233388.

Almost surely, 222000100200 is an apocalyptic number.

22000100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000100200 is an abundant number, since it is smaller than the sum of its proper divisors (33084772580).

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

22000100200 is a wasteful number, since it uses less digits than its factorization.

22000100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8461606 (or 8461597 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 22000100200 its reverse (200100022), we get a palindrome (22200200222).

The spelling of 22000100200 in words is "twenty-two billion, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 8461577 16923154 33846308 42307885 67692616 84615770 110000501 169231540 211539425 220001002 338463080 423078850 440002004 550002505 846157700 880004008 1100005010 1692315400 2200010020 2750012525 4400020040 5500025050 11000050100 22000100200