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2285603712 = 273273141223
BaseRepresentation
bin1000100000111011…
…1000101110000000
312220021202200212100
42020032320232000
514140103304322
61014444230400
7110432211450
oct21016705600
95807680770
102285603712
11a73188997
1253953b400
132a56a4542
141797a1d60
15d59cadac
hex883b8b80

2285603712 has 384 divisors, whose sum is σ = 7984005120. Its totient is φ = 613785600.

The previous prime is 2285603707. The next prime is 2285603713. The reversal of 2285603712 is 2173065822.

2285603712 is a `hidden beast` number, since 2 + 28 + 560 + 3 + 71 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285603713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10249233 + ... + 10249455.

It is an arithmetic number, because the mean of its divisors is an integer number (20791680).

Almost surely, 22285603712 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 2285603712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3992002560).

2285603712 is an abundant number, since it is smaller than the sum of its proper divisors (5698401408).

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

2285603712 is a wasteful number, since it uses less digits than its factorization.

2285603712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2285603712 is about 47807.9879518057. The cubic root of 2285603712 is about 1317.2462702964.

The spelling of 2285603712 in words is "two billion, two hundred eighty-five million, six hundred three thousand, seven hundred twelve".