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224926688896 = 27713198831151
BaseRepresentation
bin1101000101111010101…
…1001110011010000000
3210111120112020200101021
43101132223032122000
512141122213021041
6251155131315224
722151615211250
oct3213653163200
9714515220337
10224926688896
1187433285538
12377135abb14
13182975c7a30
14ac5a823960
155cb69b4cd1
hex345eace680

224926688896 has 256 divisors, whose sum is σ = 581691801600. Its totient is φ = 84130099200.

The previous prime is 224926688893. The next prime is 224926688963. The reversal of 224926688896 is 698886629422.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (224926688893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195417921 + ... + 195419071.

It is an arithmetic number, because the mean of its divisors is an integer number (2272233600).

Almost surely, 2224926688896 is an apocalyptic number.

224926688896 is a gapful number since it is divisible by the number (26) 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 224926688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290845900800).

224926688896 is an abundant number, since it is smaller than the sum of its proper divisors (356765112704).

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

224926688896 is a wasteful number, since it uses less digits than its factorization.

224926688896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2075 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 70.

The spelling of 224926688896 in words is "two hundred twenty-four billion, nine hundred twenty-six million, six hundred eighty-eight thousand, eight hundred ninety-six".