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2112226985232 = 24327213219531759
BaseRepresentation
bin11110101111001010100…
…010100000010100010000
321110221000201201101202200
4132233022202200110100
5234101320102011412
64254202122443200
7305413645065600
oct36571242402420
97427021641680
102112226985232
11744877081961
122a1444663500
1312424a250600
1474337736c00
1539e258729dc
hex1ebca8a0510

2112226985232 has 1080 divisors, whose sum is σ = 7990379654400. Its totient is φ = 517499394048.

The previous prime is 2112226985189. The next prime is 2112226985249. The reversal of 2112226985232 is 2325896222112.

2112226985232 is a `hidden beast` number, since 2 + 1 + 12 + 2 + 26 + 98 + 523 + 2 = 666.

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 215 ways as a sum of consecutive naturals, for example, 1200810369 + ... + 1200812127.

It is an arithmetic number, because the mean of its divisors is an integer number (7398499680).

Almost surely, 22112226985232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112226985232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995189827200).

2112226985232 is an abundant number, since it is smaller than the sum of its proper divisors (5878152669168).

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

2112226985232 is a wasteful number, since it uses less digits than its factorization.

2112226985232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1885 (or 1856 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 2112226985232 in words is "two trillion, one hundred twelve billion, two hundred twenty-six million, nine hundred eighty-five thousand, two hundred thirty-two".