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199944108 = 223272138719
BaseRepresentation
bin10111110101011…
…10011110101100
3111221020012202100
423322232132230
5402141202413
631501255100
74645332300
oct1372563654
9457205670
10199944108
11a2954a71
1256b64490
1332567a30
141c7a9d00
1512847a73
hexbeae7ac

199944108 has 108 divisors (see below), whose sum is σ = 633228960. Its totient is φ = 52726464.

The previous prime is 199944061. The next prime is 199944137. The reversal of 199944108 is 801449991.

199944108 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18573 + ... + 27291.

Almost surely, 2199944108 is an apocalyptic number.

199944108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199944108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316614480).

199944108 is an abundant number, since it is smaller than the sum of its proper divisors (433284852).

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

199944108 is a wasteful number, since it uses less digits than its factorization.

199944108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8756 (or 8744 counting only the distinct ones).

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

The square root of 199944108 is about 14140.1594050421. The cubic root of 199944108 is about 584.7490661673.

The spelling of 199944108 in words is "one hundred ninety-nine million, nine hundred forty-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 8719 11466 17438 22932 26157 34876 52314 61033 78471 104628 113347 122066 156942 183099 226694 244132 313884 340041 366198 427231 453388 549297 680082 732396 793429 854462 1020123 1098594 1281693 1360164 1586858 1708924 2040246 2197188 2380287 2563386 3173716 3845079 4080492 4760574 5126772 5554003 7140861 7690158 9521148 11108006 14281722 15380316 16662009 22216012 28563444 33324018 49986027 66648036 99972054 199944108