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200028168 = 233218115349
BaseRepresentation
bin10111110110000…
…11000000001000
3111221101111001200
423323003000020
5402201400133
631503144200
74646132334
oct1373030010
9457344050
10200028168
11a2a0213a
1256ba5060
1332597082
141c7cc7c4
1512862913
hexbec3008

200028168 has 48 divisors (see below), whose sum is σ = 544771500. Its totient is φ = 66303360.

The previous prime is 200028139. The next prime is 200028173. The reversal of 200028168 is 861820002.

It can be written as a sum of positive squares in 2 ways, for example, as 165945924 + 34082244 = 12882^2 + 5838^2 .

It is a super-2 number, since 2×2000281682 = 80022535986872448, which contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5358 + ... + 20706.

Almost surely, 2200028168 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 200028168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272385750).

200028168 is an abundant number, since it is smaller than the sum of its proper divisors (344743332).

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

200028168 is a wasteful number, since it uses less digits than its factorization.

200028168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15542 (or 15535 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 200028168 is about 14143.1314778588. The cubic root of 200028168 is about 584.8310009310.

The spelling of 200028168 in words is "two hundred million, twenty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 13032 15349 30698 46047 61396 92094 122792 138141 184188 276282 368376 552564 1105128 2778169 5556338 8334507 11112676 16669014 22225352 25003521 33338028 50007042 66676056 100014084 200028168