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199962816 = 2634722159
BaseRepresentation
bin10111110101100…
…11000011000000
3111221021011102020
423322303003000
5402142302231
631501521440
74645440654
oct1372630300
9457234366
10199962816
11a2968029
1256b73280
13325733c1
141c7b2a64
151284d396
hexbeb30c0

199962816 has 56 divisors (see below), whose sum is σ = 540349440. Its totient is φ = 65233152.

The previous prime is 199962809. The next prime is 199962817. The reversal of 199962816 is 618269991.

It is not an unprimeable number, because it can be changed into a prime (199962817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2056 + ... + 20103.

Almost surely, 2199962816 is an apocalyptic number.

199962816 is a gapful number since it is divisible by the number (16) 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 199962816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270174720).

199962816 is an abundant number, since it is smaller than the sum of its proper divisors (340386624).

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

199962816 is a wasteful number, since it uses less digits than its factorization.

199962816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22221 (or 22211 counting only the distinct ones).

The product of its digits is 419904, while the sum is 51.

The square root of 199962816 is about 14140.8209096926. The cubic root of 199962816 is about 584.7673031711.

The spelling of 199962816 in words is "one hundred ninety-nine million, nine hundred sixty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 282 376 564 752 1128 1504 2256 3008 4512 9024 22159 44318 66477 88636 132954 177272 265908 354544 531816 709088 1041473 1063632 1418176 2082946 2127264 3124419 4165892 4254528 6248838 8331784 12497676 16663568 24995352 33327136 49990704 66654272 99981408 199962816