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200271630 = 23513539689
BaseRepresentation
bin10111110111111…
…10011100001110
3111221211212000210
423323332130032
5402232143010
631512303250
74651165206
oct1373763416
9457755023
10200271630
11a3059049
12570a1b26
1332650b30
141c853406
15128aeb20
hexbefe70e

200271630 has 64 divisors (see below), whose sum is σ = 527446080. Its totient is φ = 48362496.

The previous prime is 200271629. The next prime is 200271637. The reversal of 200271630 is 36172002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200271597 and 200271606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200271637) 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 31 ways as a sum of consecutive naturals, for example, 15826 + ... + 25514.

It is an arithmetic number, because the mean of its divisors is an integer number (8241345).

Almost surely, 2200271630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200271630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263723040).

200271630 is an abundant number, since it is smaller than the sum of its proper divisors (327174450).

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

200271630 is a wasteful number, since it uses less digits than its factorization.

200271630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9765.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 200271630 is about 14151.7359359197. The cubic root of 200271630 is about 585.0681781888.

The spelling of 200271630 in words is "two hundred million, two hundred seventy-one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 53 65 78 106 130 159 195 265 318 390 530 689 795 1378 1590 2067 3445 4134 6890 9689 10335 19378 20670 29067 48445 58134 96890 125957 145335 251914 290670 377871 513517 629785 755742 1027034 1259570 1540551 1889355 2567585 3081102 3778710 5135170 6675721 7702755 13351442 15405510 20027163 33378605 40054326 66757210 100135815 200271630