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198946132 = 227116110589
BaseRepresentation
bin10111101101110…
…10110101010100
3111212100111210021
423312322311110
5401412234012
631424034524
74634004610
oct1366726524
9455314707
10198946132
11a23331a0
1256762a44
13322a8708
141c5ca340
15126ec007
hexbdbad54

198946132 has 48 divisors (see below), whose sum is σ = 441221760. Its totient is φ = 76233600.

The previous prime is 198946091. The next prime is 198946133. The reversal of 198946132 is 231649891.

It is a happy number.

It is a super-2 number, since 2×1989461322 = 79159126875522848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198946133) 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 15 ways as a sum of consecutive naturals, for example, 13494 + ... + 24082.

It is an arithmetic number, because the mean of its divisors is an integer number (9192120).

Almost surely, 2198946132 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 198946132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220610880).

198946132 is an abundant number, since it is smaller than the sum of its proper divisors (242275628).

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

198946132 is a wasteful number, since it uses less digits than its factorization.

198946132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10672 (or 10670 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 198946132 is about 14104.8265498020. The cubic root of 198946132 is about 583.7745619202.

The spelling of 198946132 in words is "one hundred ninety-eight million, nine hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 61 77 122 154 244 308 427 671 854 1342 1708 2684 4697 9394 10589 18788 21178 42356 74123 116479 148246 232958 296492 465916 645929 815353 1291858 1630706 2583716 3261412 4521503 7105219 9043006 14210438 18086012 28420876 49736533 99473066 198946132