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224972534142828 = 223329449819119531
BaseRepresentation
bin110011001001110001111111…
…111110110101011101101100
31002111120011102201100120201000
4303021301333332311131230
5213441422222220032303
62114250542211320300
765246505056223333
oct6311617776653554
91074504381316630
10224972534142828
116575735255792a
12212952265b0090
13986ba85296a84
143d7aa2b99ad1a
151b020ba23eda3
hexcc9c7ffb576c

224972534142828 has 192 divisors, whose sum is σ = 604823224320000. Its totient is φ = 72231176908800.

The previous prime is 224972534142823. The next prime is 224972534142833. The reversal of 224972534142828 is 828241435279422.

224972534142828 is a `hidden beast` number, since 2 + 2 + 4 + 9 + 7 + 2 + 5 + 341 + 4 + 282 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (224972534142823) and next prime (224972534142833).

It is a super-2 number, since 2×2249725341428282 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (224972534142823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11518731423 + ... + 11518750953.

It is an arithmetic number, because the mean of its divisors is an integer number (3150120960000).

Almost surely, 2224972534142828 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 224972534142828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302411612160000).

224972534142828 is an abundant number, since it is smaller than the sum of its proper divisors (379850690177172).

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

224972534142828 is a wasteful number, since it uses less digits than its factorization.

224972534142828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28213 (or 28205 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 63.

The spelling of 224972534142828 in words is "two hundred twenty-four trillion, nine hundred seventy-two billion, five hundred thirty-four million, one hundred forty-two thousand, eight hundred twenty-eight".