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199881045 = 325721319367
BaseRepresentation
bin10111110100111…
…11000101010101
3111221010000020200
423322133011111
5402132143140
631500051113
74644650400
oct1372370525
9457100220
10199881045
11a2911651
1256b33a99
1332545110
141c790d37
1512834030
hexbe9f155

199881045 has 144 divisors (see below), whose sum is σ = 458115840. Its totient is φ = 79688448.

The previous prime is 199881043. The next prime is 199881061. The reversal of 199881045 is 540188991.

It is not a de Polignac number, because 199881045 - 21 = 199881043 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199881043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 544452 + ... + 544818.

It is an arithmetic number, because the mean of its divisors is an integer number (3181360).

Almost surely, 2199881045 is an apocalyptic number.

199881045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

199881045 is an abundant number, since it is smaller than the sum of its proper divisors (258234795).

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

199881045 is a wasteful number, since it uses less digits than its factorization.

199881045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 199881045 is about 14137.9293038266. The cubic root of 199881045 is about 584.6875824718.

The spelling of 199881045 in words is "one hundred ninety-nine million, eight hundred eighty-one thousand, forty-five".

Divisors: 1 3 5 7 9 13 15 19 21 35 39 45 49 57 63 65 91 95 105 117 133 147 171 195 245 247 273 285 315 367 399 441 455 585 637 665 735 741 819 855 931 1101 1197 1235 1365 1729 1835 1911 1995 2205 2223 2569 2793 3185 3303 3705 4095 4655 4771 5187 5505 5733 5985 6973 7707 8379 8645 9555 11115 12103 12845 13965 14313 15561 16515 17983 20919 23121 23855 25935 28665 33397 34865 36309 38535 41895 42939 48811 53949 60515 62757 71565 77805 89915 90649 100191 104595 108927 115605 146433 161847 166985 181545 214695 233779 244055 269745 271947 300573 313785 341677 439299 453245 500955 544635 634543 701337 732165 809235 815841 1025031 1168895 1359735 1502865 1708385 1903629 2104011 2196495 3075093 3172715 3506685 4079205 4441801 5125155 5710887 9518145 10520055 13325403 15375465 22209005 28554435 39976209 66627015 199881045