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22869107712 = 21032111931383
BaseRepresentation
bin10101010011000110…
…101110010000000000
32012000210021001010100
4111103012232100000
5333313442421322
614301140202400
71436501131263
oct252306562000
965023231110
1022869107712
119776019120
124522999400
132205c204c9
14116d378cda
158dcaa6dac
hex5531ae400

22869107712 has 528 divisors, whose sum is σ = 78479032320. Its totient is φ = 6336921600.

The previous prime is 22869107711. The next prime is 22869107717. The reversal of 22869107712 is 21770196822.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (22869107711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59710273 + ... + 59710655.

Almost surely, 222869107712 is an apocalyptic number.

22869107712 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22869107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39239516160).

22869107712 is an abundant number, since it is smaller than the sum of its proper divisors (55609924608).

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

22869107712 is a wasteful number, since it uses less digits than its factorization.

22869107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 22869107712 in words is "twenty-two billion, eight hundred sixty-nine million, one hundred seven thousand, seven hundred twelve".