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227528640 = 26325199397
BaseRepresentation
bin11011000111111…
…00111111000000
3120212010122121200
431203330333000
5431221404030
634324421200
75431650543
oct1543747700
9525118550
10227528640
111074856a9
1264247800
13381a5441
142230a85a
1514e95d60
hexd8fcfc0

227528640 has 168 divisors, whose sum is σ = 788517600. Its totient is φ = 60217344.

The previous prime is 227528617. The next prime is 227528657. The reversal of 227528640 is 46825722.

227528640 is a `hidden beast` number, since 2 + 2 + 7 + 5 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 227528595 and 227528604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572922 + ... + 573318.

Almost surely, 2227528640 is an apocalyptic number.

227528640 is a gapful number since it is divisible by the number (20) 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 227528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394258800).

227528640 is an abundant number, since it is smaller than the sum of its proper divisors (560988960).

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

227528640 is a wasteful number, since it uses less digits than its factorization.

227528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 227528640 is about 15084.0525058752. The cubic root of 227528640 is about 610.4901909493.

The spelling of 227528640 in words is "two hundred twenty-seven million, five hundred twenty-eight thousand, six hundred forty".