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222131111120 = 2455352389413
BaseRepresentation
bin1100111011100000001…
…0111100010011010000
3210020100200212121121122
43032320002330103100
512114411031023440
6250013504341412
722022421201602
oct3167002742320
9706320777548
10222131111120
1186229248586
1237073314868
1317c403885b9
14aa73431172
155ba13507b5
hex33b80bc4d0

222131111120 has 40 divisors (see below), whose sum is σ = 526199274216. Its totient is φ = 87175981568.

The previous prime is 222131111117. The next prime is 222131111149. The reversal of 222131111120 is 21111131222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33389521984 + 188741589136 = 182728^2 + 434444^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2221311111203 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 26190467 + ... + 26198946.

Almost surely, 2222131111120 is an apocalyptic number.

222131111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222131111120 is an abundant number, since it is smaller than the sum of its proper divisors (304068163096).

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

222131111120 is a wasteful number, since it uses less digits than its factorization.

222131111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52389479 (or 52389473 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 222131111120 its reverse (21111131222), we get a palindrome (243242242342).

The spelling of 222131111120 in words is "two hundred twenty-two billion, one hundred thirty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 52389413 104778826 209557652 261947065 419115304 523894130 838230608 1047788260 2095576520 2776638889 4191153040 5553277778 11106555556 13883194445 22213111112 27766388890 44426222224 55532777780 111065555560 222131111120