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200211072 = 273598837
BaseRepresentation
bin10111110111011…
…11101010000000
3111221201202221220
423323233222000
5402223223242
631511115040
74650523515
oct1373575200
9457652856
10200211072
11a30175a6
1257072a80
133262c3b9
141c83930c
151289bbec
hexbeefa80

200211072 has 64 divisors (see below), whose sum is σ = 540885600. Its totient is φ = 65598464.

The previous prime is 200211029. The next prime is 200211073. The reversal of 200211072 is 270112002.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (200211073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18238 + ... + 27074.

Almost surely, 2200211072 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 200211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270442800).

200211072 is an abundant number, since it is smaller than the sum of its proper divisors (340674528).

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

200211072 is an equidigital number, since it uses as much as digits as its factorization.

200211072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8913 (or 8901 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 200211072 is about 14149.5961779833. The cubic root of 200211072 is about 585.0092014040.

Adding to 200211072 its reverse (270112002), we get a palindrome (470323074).

The spelling of 200211072 in words is "two hundred million, two hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 354 384 472 708 944 1416 1888 2832 3776 5664 7552 8837 11328 17674 22656 26511 35348 53022 70696 106044 141392 212088 282784 424176 521383 565568 848352 1042766 1131136 1564149 1696704 2085532 3128298 3393408 4171064 6256596 8342128 12513192 16684256 25026384 33368512 50052768 66737024 100105536 200211072