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2222002112200 = 2352131750271541
BaseRepresentation
bin100000010101011001101…
…001011000011011001000
321212102101010222122022221
4200111121221120123020
5242401130020042300
64420435040423424
7316351166215543
oct40253151303310
97772333878287
102222002112200
117873892a0592
122ba780017b74
131316c2c94a40
147978cb0185a
153cbecd4b31a
hex20559a586c8

2222002112200 has 96 divisors (see below), whose sum is σ = 5890819291560. Its totient is φ = 772170854400.

The previous prime is 2222002112177. The next prime is 2222002112219. The reversal of 2222002112200 is 22112002222.

It can be written as a sum of positive squares in 12 ways, for example, as 243011533444 + 1978990578756 = 492962^2 + 1406766^2 .

It is a super-2 number, since 2×22220021122002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25091571 + ... + 25179970.

Almost surely, 22222002112200 is an apocalyptic number.

2222002112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222002112200 is an abundant number, since it is smaller than the sum of its proper divisors (3668817179360).

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

2222002112200 is a wasteful number, since it uses less digits than its factorization.

2222002112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50271587 (or 50271578 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2222002112200 its reverse (22112002222), we get a palindrome (2244114114422).

The spelling of 2222002112200 in words is "two trillion, two hundred twenty-two billion, two million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 17 20 25 26 34 40 50 52 65 68 85 100 104 130 136 170 200 221 260 325 340 425 442 520 650 680 850 884 1105 1300 1700 1768 2210 2600 3400 4420 5525 8840 11050 22100 44200 50271541 100543082 201086164 251357705 402172328 502715410 653530033 854616197 1005430820 1256788525 1307060066 1709232394 2010861640 2513577050 2614120132 3267650165 3418464788 4273080985 5027154100 5228240264 6535300330 6836929576 8546161970 10054308200 11110010561 13070600660 16338250825 17092323940 21365404925 22220021122 26141201320 32676501650 34184647880 42730809850 44440042244 55550052805 65353003300 85461619700 88880084488 111100105610 130706006600 170923239400 222200211220 277750264025 444400422440 555500528050 1111001056100 2222002112200