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200323136 = 2613218521
BaseRepresentation
bin10111111000010…
…11000001000000
3111221221110200102
423330023001000
5402240320021
631513341532
74651501316
oct1374130100
9457843612
10200323136
11a3093812
12571078a8
133266b400
141c8680b6
15128c000b
hexbf0b040

200323136 has 42 divisors (see below), whose sum is σ = 430469802. Its totient is φ = 92451840.

The previous prime is 200323133. The next prime is 200323141. The reversal of 200323136 is 631323002.

It can be written as a sum of positive squares in 3 ways, for example, as 24601600 + 175721536 = 4960^2 + 13256^2 .

It is not an unprimeable number, because it can be changed into a prime (200323133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1556 + ... + 20076.

It is an arithmetic number, because the mean of its divisors is an integer number (10249281).

Almost surely, 2200323136 is an apocalyptic number.

200323136 is a gapful number since it is divisible by the number (26) 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 200323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215234901).

200323136 is an abundant number, since it is smaller than the sum of its proper divisors (230146666).

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

200323136 is a wasteful number, since it uses less digits than its factorization.

200323136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18559 (or 18536 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 200323136 is about 14153.5555956798. Note that the first 4 decimals coincide. The cubic root of 200323136 is about 585.1183299728.

Adding to 200323136 its reverse (631323002), we get a palindrome (831646138).

The spelling of 200323136 in words is "two hundred million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 5408 10816 18521 37042 74084 148168 240773 296336 481546 592672 963092 1185344 1926184 3130049 3852368 6260098 7704736 12520196 15409472 25040392 50080784 100161568 200323136