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5715228600 = 233252231271087
BaseRepresentation
bin1010101001010011…
…10111011110111000
3112202022012200202100
411110221313132320
543201044303400
62343041103400
7261425433024
oct52451673670
915668180670
105715228600
112473108924
121136027b60
137010a0693
143c3081384
15236b36100
hex154a777b8

5715228600 has 288 divisors, whose sum is σ = 20204421120. Its totient is φ = 1444988160.

The previous prime is 5715228587. The next prime is 5715228601. The reversal of 5715228600 is 68225175.

It is a happy number.

5715228600 is a `hidden beast` number, since 5 + 71 + 522 + 8 + 60 + 0 = 666.

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 (5715228601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5257257 + ... + 5258343.

It is an arithmetic number, because the mean of its divisors is an integer number (70154240).

Almost surely, 25715228600 is an apocalyptic number.

5715228600 is a gapful number since it is divisible by the number (50) 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 5715228600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10102210560).

5715228600 is an abundant number, since it is smaller than the sum of its proper divisors (14489192520).

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

5715228600 is a wasteful number, since it uses less digits than its factorization.

5715228600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5715228600 is about 75599.1309473859. The cubic root of 5715228600 is about 1787.9053971537.

The spelling of 5715228600 in words is "five billion, seven hundred fifteen million, two hundred twenty-eight thousand, six hundred".