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10014085224 = 233211133797271
BaseRepresentation
bin10010101001110001…
…01101000001101000
3221211220021020102100
421110320231001220
5131002101211344
64333404333400
7503105214513
oct112470550150
927756236370
1010014085224
1142797654a0
121b35844260
13c378ac620
146add8bd7a
153d9241569
hex254e2d068

10014085224 has 384 divisors, whose sum is σ = 33183521280. Its totient is φ = 2687385600.

The previous prime is 10014085201. The next prime is 10014085243. The reversal of 10014085224 is 42258041001.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36952209 + ... + 36952479.

It is an arithmetic number, because the mean of its divisors is an integer number (86415420).

Almost surely, 210014085224 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 10014085224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16591760640).

10014085224 is an abundant number, since it is smaller than the sum of its proper divisors (23169436056).

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

10014085224 is a wasteful number, since it uses less digits than its factorization.

10014085224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10014085224 in words is "ten billion, fourteen million, eighty-five thousand, two hundred twenty-four".