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199052964 = 22351118617
BaseRepresentation
bin10111101110101…
…00111010100100
3111212112221100000
423313110322210
5401424143324
631430221300
74634631225
oct1367247244
9455487300
10199052964
11a23a6490
12567b4830
1332315226
141c61724c
151271d9c9
hexbdd4ea4

199052964 has 72 divisors (see below), whose sum is σ = 569263968. Its totient is φ = 60315840.

The previous prime is 199052963. The next prime is 199052981. The reversal of 199052964 is 469250991.

It is not an unprimeable number, because it can be changed into a prime (199052963) 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, 1384 + ... + 20000.

It is an arithmetic number, because the mean of its divisors is an integer number (7906444).

Almost surely, 2199052964 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 199052964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284631984).

199052964 is an abundant number, since it is smaller than the sum of its proper divisors (370211004).

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

199052964 is a wasteful number, since it uses less digits than its factorization.

199052964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18647 (or 18633 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 199052964 is about 14108.6131139811. The cubic root of 199052964 is about 583.8790368408.

The spelling of 199052964 in words is "one hundred ninety-nine million, fifty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 18617 37234 55851 74468 111702 167553 204787 223404 335106 409574 502659 614361 670212 819148 1005318 1228722 1507977 1843083 2010636 2457444 3015954 3686166 4523931 5529249 6031908 7372332 9047862 11058498 16587747 18095724 22116996 33175494 49763241 66350988 99526482 199052964