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20195014224 = 24371122511979
BaseRepresentation
bin10010110011101101…
…110111011001010000
31221010102111000110210
4102303231313121100
5312324410423344
613135533124120
71313310534330
oct226355673120
957112430423
1020195014224
118623617100
123ab7329640
131b9ac07778
14d9816b0c0
157d2e3cdb9
hex4b3b77650

20195014224 has 240 divisors, whose sum is σ = 65830786560. Its totient is φ = 5221920000.

The previous prime is 20195014219. The next prime is 20195014249. The reversal of 20195014224 is 42241059102.

It is a junction number, because it is equal to n+sod(n) for n = 20195014191 and 20195014200.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 10203667 + ... + 10205645.

It is an arithmetic number, because the mean of its divisors is an integer number (274294944).

Almost surely, 220195014224 is an apocalyptic number.

20195014224 is a gapful number since it is divisible by the number (24) 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 20195014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32915393280).

20195014224 is an abundant number, since it is smaller than the sum of its proper divisors (45635772336).

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

20195014224 is a wasteful number, since it uses less digits than its factorization.

20195014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 20195014224 in words is "twenty billion, one hundred ninety-five million, fourteen thousand, two hundred twenty-four".