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199452096 = 2632595869
BaseRepresentation
bin10111110001101…
…10010111000000
3111220022012211200
423320312113000
5402024431341
631442541200
74641212664
oct1370662700
9456265750
10199452096
11a2649348
1256967800
1332424abc
141c6bc8a4
151279bdb6
hexbe365c0

199452096 has 84 divisors (see below), whose sum is σ = 581482200. Its totient is φ = 65346048.

The previous prime is 199452083. The next prime is 199452107. The reversal of 199452096 is 690254991.

199452096 is a `hidden beast` number, since 199 + 452 + 0 + 9 + 6 = 666.

199452096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1994520962 = 79562277197586432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31050 + ... + 36918.

Almost surely, 2199452096 is an apocalyptic number.

199452096 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 199452096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290741100).

199452096 is an abundant number, since it is smaller than the sum of its proper divisors (382030104).

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

199452096 is a wasteful number, since it uses less digits than its factorization.

199452096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5946 (or 5933 counting only the distinct ones).

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

The square root of 199452096 is about 14122.7510067975. The cubic root of 199452096 is about 584.2690322349.

The spelling of 199452096 in words is "one hundred ninety-nine million, four hundred fifty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 5869 8496 11328 11738 16992 17607 23476 33984 35214 46952 52821 70428 93904 105642 140856 187808 211284 281712 346271 375616 422568 563424 692542 845136 1038813 1126848 1385084 1690272 2077626 2770168 3116439 3380544 4155252 5540336 6232878 8310504 11080672 12465756 16621008 22161344 24931512 33242016 49863024 66484032 99726048 199452096