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198968946 = 23116173677
BaseRepresentation
bin10111101110000…
…00011001110010
3111212101200002020
423313000121302
5401414001241
631424332310
74634131251
oct1367003162
9455350066
10198968946
11a2349350
1256774096
13322b5c07
141c5d4798
1512703b66
hexbdc0672

198968946 has 64 divisors (see below), whose sum is σ = 447935616. Its totient is φ = 58406400.

The previous prime is 198968831. The next prime is 198968951. The reversal of 198968946 is 649869891.

198968946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 198968946.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293560 + ... + 294236.

It is an arithmetic number, because the mean of its divisors is an integer number (6998994).

Almost surely, 2198968946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198968946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223967808).

198968946 is an abundant number, since it is smaller than the sum of its proper divisors (248966670).

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

198968946 is a wasteful number, since it uses less digits than its factorization.

198968946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827.

The product of its digits is 6718464, while the sum is 60.

The square root of 198968946 is about 14105.6352568752. The cubic root of 198968946 is about 583.7968757054.

The spelling of 198968946 in words is "one hundred ninety-eight million, nine hundred sixty-eight thousand, nine hundred forty-six".

Divisors: 1 2 3 6 11 22 33 61 66 73 122 146 183 219 366 438 671 677 803 1342 1354 1606 2013 2031 2409 4026 4062 4453 4818 7447 8906 13359 14894 22341 26718 41297 44682 48983 49421 82594 97966 98842 123891 146949 148263 247782 293898 296526 454267 543631 908534 1087262 1362801 1630893 2725602 3014681 3261786 6029362 9044043 18088086 33161491 66322982 99484473 198968946