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199768884 = 22372437901
BaseRepresentation
bin10111110100000…
…11101100110100
3111220220022101120
423322003230310
5402120101014
631453423540
74644002400
oct1372035464
9456808346
10199768884
11a2845357
1256a9abb0
1332506053
141c762100
1512810ba9
hexbe83b34

199768884 has 72 divisors (see below), whose sum is σ = 554910048. Its totient is φ = 55742400.

The previous prime is 199768873. The next prime is 199768889. The reversal of 199768884 is 488867991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199768889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21334 + ... + 29234.

It is an arithmetic number, because the mean of its divisors is an integer number (7707084).

Almost surely, 2199768884 is an apocalyptic number.

199768884 is a gapful number since it is divisible by the number (14) 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 199768884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277455024).

199768884 is an abundant number, since it is smaller than the sum of its proper divisors (355141164).

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

199768884 is a wasteful number, since it uses less digits than its factorization.

199768884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7965 (or 7956 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 60.

The square root of 199768884 is about 14133.9620772096. The cubic root of 199768884 is about 584.5781983894.

The spelling of 199768884 in words is "one hundred ninety-nine million, seven hundred sixty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 196 258 294 301 516 588 602 903 1204 1806 2107 3612 4214 6321 7901 8428 12642 15802 23703 25284 31604 47406 55307 94812 110614 165921 221228 331842 339743 387149 663684 679486 774298 1019229 1161447 1358972 1548596 2038458 2322894 2378201 4076916 4645788 4756402 7134603 9512804 14269206 16647407 28538412 33294814 49942221 66589628 99884442 199768884