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1422228209472 = 263271937271191
BaseRepresentation
bin10100101100100011011…
…010000011111101000000
312000222000112021211111100
4110230203122003331000
5141300210410200342
63005210154214400
7204516066213330
oct24544332037500
95028015254440
101422228209472
114a9188824044
121ab779424400
13a4166b0c145
144cb9c7d30c0
1526ede81ae4c
hex14b23683f40

1422228209472 has 1008 divisors, whose sum is σ = 5138009210880. Its totient is φ = 367350681600.

The previous prime is 1422228209471. The next prime is 1422228209533. The reversal of 1422228209472 is 2749028222241.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×14222282094722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1422228209471) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7446220897 + ... + 7446221087.

It is an arithmetic number, because the mean of its divisors is an integer number (5097231360).

Almost surely, 21422228209472 is an apocalyptic number.

1422228209472 is a gapful number since it is divisible by the number (12) 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 1422228209472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2569004605440).

1422228209472 is an abundant number, since it is smaller than the sum of its proper divisors (3715781001408).

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

1422228209472 is a wasteful number, since it uses less digits than its factorization.

1422228209472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1422228209472 in words is "one trillion, four hundred twenty-two billion, two hundred twenty-eight million, two hundred nine thousand, four hundred seventy-two".