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200281128 = 233192571709
BaseRepresentation
bin10111111000000…
…00110000101000
3111221212100001120
423330000300220
5402232444003
631512415240
74651234665
oct1374006050
9457770046
10200281128
11a30651a3
12570a7520
1332655258
141c856a6c
15128b2853
hexbf00c28

200281128 has 64 divisors (see below), whose sum is σ = 529416000. Its totient is φ = 62963712.

The previous prime is 200281099. The next prime is 200281129. The reversal of 200281128 is 821182002.

It is a super-2 number, since 2×2002811282 = 80225060465904768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 200281098 and 200281107.

It is not an unprimeable number, because it can be changed into a prime (200281129) 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 15 ways as a sum of consecutive naturals, for example, 116338 + ... + 118046.

It is an arithmetic number, because the mean of its divisors is an integer number (8272125).

Almost surely, 2200281128 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 200281128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264708000).

200281128 is an abundant number, since it is smaller than the sum of its proper divisors (329134872).

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

200281128 is a wasteful number, since it uses less digits than its factorization.

200281128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 200281128 is about 14152.0715091466. The cubic root of 200281128 is about 585.0774271102.

The spelling of 200281128 in words is "two hundred million, two hundred eighty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 257 456 514 771 1028 1542 1709 2056 3084 3418 4883 5127 6168 6836 9766 10254 13672 14649 19532 20508 29298 32471 39064 41016 58596 64942 97413 117192 129884 194826 259768 389652 439213 779304 878426 1317639 1756852 2635278 3513704 5270556 8345047 10541112 16690094 25035141 33380188 50070282 66760376 100140564 200281128