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227085300 = 2232521321493
BaseRepresentation
bin11011000100100…
…00101111110100
3120211022010110200
431202100233310
5431113212200
634311120500
75425123161
oct1542205764
9524263420
10227085300
11107202602
1264073130
133807b700
1422233068
1514e09800
hexd890bf4

227085300 has 162 divisors, whose sum is σ = 771267042. Its totient is φ = 55860480.

The previous prime is 227085293. The next prime is 227085329. The reversal of 227085300 is 3580722.

227085300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 97535376 + 129549924 = 9876^2 + 11382^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 151354 + ... + 152846.

Almost surely, 2227085300 is an apocalyptic number.

227085300 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 227085300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385633521).

227085300 is an abundant number, since it is smaller than the sum of its proper divisors (544181742).

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

227085300 is a wasteful number, since it uses less digits than its factorization.

227085300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 227085300 is about 15069.3496873621. The cubic root of 227085300 is about 610.0934193572.

The spelling of 227085300 in words is "two hundred twenty-seven million, eighty-five thousand, three hundred".