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5606022240 = 25325713179239
BaseRepresentation
bin1010011100010010…
…10001110001100000
3112110200201102210100
411032021101301200
542440120202430
62324140302400
7255631255110
oct51611216140
915420642710
105606022240
1124174a9535
121105541a00
136b4585630
143b2775040
1522c263960
hex14e251c60

5606022240 has 576 divisors, whose sum is σ = 23775897600. Its totient is φ = 1171279872.

The previous prime is 5606022239. The next prime is 5606022241. The reversal of 5606022240 is 422206065.

5606022240 is a `hidden beast` number, since 56 + 0 + 602 + 2 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5606022239) and next prime (5606022241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5606022241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23456041 + ... + 23456279.

It is an arithmetic number, because the mean of its divisors is an integer number (41277600).

Almost surely, 25606022240 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 5606022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11887948800).

5606022240 is an abundant number, since it is smaller than the sum of its proper divisors (18169875360).

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

5606022240 is a wasteful number, since it uses less digits than its factorization.

5606022240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5606022240 is about 74873.3747069010. The cubic root of 5606022240 is about 1776.4443434087. Note that the first 3 decimals are identical.

The spelling of 5606022240 in words is "five billion, six hundred six million, twenty-two thousand, two hundred forty".