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198919224 = 23327256383
BaseRepresentation
bin10111101101101…
…00010000111000
3111212022010212200
423312310100320
5401410403344
631423310200
74633533300
oct1366642070
9455263780
10198919224
11a2314a59
125674b360
13322993aa
141c5c0600
15126e4069
hexbdb4438

198919224 has 72 divisors (see below), whose sum is σ = 626708160. Its totient is φ = 56833056.

The previous prime is 198919213. The next prime is 198919243. The reversal of 198919224 is 422919891.

198919224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 198919224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24664 + ... + 31719.

It is an arithmetic number, because the mean of its divisors is an integer number (8704280).

Almost surely, 2198919224 is an apocalyptic number.

198919224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

198919224 is an abundant number, since it is smaller than the sum of its proper divisors (427788936).

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

198919224 is a wasteful number, since it uses less digits than its factorization.

198919224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56409 (or 56395 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 198919224 is about 14103.8726596634. The cubic root of 198919224 is about 583.7482417064.

The spelling of 198919224 in words is "one hundred ninety-eight million, nine hundred nineteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 56383 112766 169149 225532 338298 394681 451064 507447 676596 789362 1014894 1184043 1353192 1578724 2029788 2368086 2762767 3157448 3552129 4059576 4736172 5525534 7104258 8288301 9472344 11051068 14208516 16576602 22102136 24864903 28417032 33153204 49729806 66306408 99459612 198919224