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5666228640 = 253451923011
BaseRepresentation
bin1010100011011101…
…11100100110100000
3112121220000020110000
411101232330212200
543101023304030
62334130540000
7260262102012
oct52156744640
915556006400
105666228640
112448490496
121121737600
136c3ba5517
143ba7681b2
152326a7860
hex151bbc9a0

5666228640 has 240 divisors, whose sum is σ = 21050457120. Its totient is φ = 1431406080.

The previous prime is 5666228629. The next prime is 5666228647. The reversal of 5666228640 is 468226665.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×56662286402 = 64212294001512499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5666228647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234735 + ... + 257745.

It is an arithmetic number, because the mean of its divisors is an integer number (87710238).

Almost surely, 25666228640 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 5666228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10525228560).

5666228640 is an abundant number, since it is smaller than the sum of its proper divisors (15384228480).

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

5666228640 is a wasteful number, since it uses less digits than its factorization.

5666228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23057 (or 23040 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5666228640 is about 75274.3557926602. The cubic root of 5666228640 is about 1782.7811424175.

The spelling of 5666228640 in words is "five billion, six hundred sixty-six million, two hundred twenty-eight thousand, six hundred forty".