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199492254 = 233133189103
BaseRepresentation
bin10111110010000…
…00001010011110
3111220101020221000
423321000022132
5402032223004
631443451130
74641441033
oct1371001236
9456336830
10199492254
11a2676535
1256986aa6
133243a170
141c6cd38a
15127a8c39
hexbe4029e

199492254 has 128 divisors (see below), whose sum is σ = 503193600. Its totient is φ = 58164480.

The previous prime is 199492253. The next prime is 199492259. The reversal of 199492254 is 452294991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199492253) 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 63 ways as a sum of consecutive naturals, for example, 1936767 + ... + 1936869.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2199492254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199492254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

199492254 is an abundant number, since it is smaller than the sum of its proper divisors (303701346).

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

199492254 is a wasteful number, since it uses less digits than its factorization.

199492254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 199492254 is about 14124.1726837362. The cubic root of 199492254 is about 584.3082421533.

The spelling of 199492254 in words is "one hundred ninety-nine million, four hundred ninety-two thousand, two hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 89 93 103 117 178 186 206 234 267 279 309 351 403 534 558 618 702 801 806 837 927 1157 1209 1339 1602 1674 1854 2314 2403 2418 2678 2759 2781 3193 3471 3627 4017 4806 5518 5562 6386 6942 7254 8034 8277 9167 9579 10413 10881 12051 16554 18334 19158 20826 21762 24102 24831 27501 28737 31239 35867 36153 41509 49662 55002 57474 62478 71734 72306 74493 82503 83018 86211 107601 119171 124527 148986 165006 172422 215202 238342 247509 249054 284177 322803 357513 373581 495018 568354 645606 715026 747162 852531 968409 1072539 1120743 1705062 1936818 2145078 2241486 2557593 3217617 3694301 5115186 6435234 7388602 7672779 11082903 15345558 22165806 33248709 66497418 99746127 199492254