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191066112 = 212327173
BaseRepresentation
bin10110110001101…
…11000000000000
3111022112011102200
423120313000000
5342403103422
630543113200
74510015026
oct1330670000
9438464380
10191066112
1198940886
1253ba2800
1330779a93
141b538716
1511b922ac
hexb637000

191066112 has 156 divisors (see below), whose sum is σ = 567341424. Its totient is φ = 61931520.

The previous prime is 191066093. The next prime is 191066119. The reversal of 191066112 is 211660191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191066119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2617308 + ... + 2617380.

It is an arithmetic number, because the mean of its divisors is an integer number (3636804).

Almost surely, 2191066112 is an apocalyptic number.

191066112 is a gapful number since it is divisible by the number (12) 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 191066112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283670712).

191066112 is an abundant number, since it is smaller than the sum of its proper divisors (376275312).

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

191066112 is an equidigital number, since it uses as much as digits as its factorization.

191066112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 191066112 is about 13822.6666023601. Note that the first 4 decimals coincide. The cubic root of 191066112 is about 575.9629605812.

The spelling of 191066112 in words is "one hundred ninety-one million, sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 73 96 128 142 144 146 192 213 219 256 284 288 292 384 426 438 512 568 576 584 639 657 768 852 876 1024 1136 1152 1168 1278 1314 1536 1704 1752 2048 2272 2304 2336 2556 2628 3072 3408 3504 4096 4544 4608 4672 5112 5183 5256 6144 6816 7008 9088 9216 9344 10224 10366 10512 12288 13632 14016 15549 18176 18432 18688 20448 20732 21024 27264 28032 31098 36352 36864 37376 40896 41464 42048 46647 54528 56064 62196 72704 74752 81792 82928 84096 93294 109056 112128 124392 145408 149504 163584 165856 168192 186588 218112 224256 248784 290816 299008 327168 331712 336384 373176 436224 448512 497568 654336 663424 672768 746352 872448 897024 995136 1308672 1326848 1345536 1492704 1990272 2617344 2653696 2691072 2985408 3980544 5307392 5970816 7961088 10614784 11941632 15922176 21229568 23883264 31844352 47766528 63688704 95533056 191066112