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200851968 = 293433041
BaseRepresentation
bin10111111100011…
…00001000000000
3111222221100002210
423332030020000
5402404230333
631532542120
74656133152
oct1376141000
9458840083
10200851968
11a3415069
1257321940
13327c5025
141c964ad2
1512976a63
hexbf8c200

200851968 has 80 divisors (see below), whose sum is σ = 547706016. Its totient is φ = 65372160.

The previous prime is 200851967. The next prime is 200851979. The reversal of 200851968 is 869158002.

It is not an unprimeable number, because it can be changed into a prime (200851961) 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 7 ways as a sum of consecutive naturals, for example, 64528 + ... + 67568.

Almost surely, 2200851968 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 200851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273853008).

200851968 is an abundant number, since it is smaller than the sum of its proper divisors (346854048).

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

200851968 is an equidigital number, since it uses as much as digits as its factorization.

200851968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 200851968 is about 14172.2252310638. The cubic root of 200851968 is about 585.6327611640.

The spelling of 200851968 in words is "two hundred million, eight hundred fifty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 768 1032 1376 1536 2064 2752 3041 4128 5504 6082 8256 9123 11008 12164 16512 18246 22016 24328 33024 36492 48656 66048 72984 97312 130763 145968 194624 261526 291936 389248 392289 523052 583872 778496 784578 1046104 1167744 1556992 1569156 2092208 2335488 3138312 4184416 4670976 6276624 8368832 12553248 16737664 25106496 33475328 50212992 66950656 100425984 200851968