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198212742 = 232721359293
BaseRepresentation
bin10111101000001…
…11110010000110
3111210222020202200
423310013302012
5401220301432
631400215330
74624531500
oct1364076206
9453866680
10198212742
11a1982192
125646a546
13320ac960
141c478d70
1512604a7c
hexbd07c86

198212742 has 144 divisors (see below), whose sum is σ = 548992080. Its totient is φ = 51214464.

The previous prime is 198212723. The next prime is 198212743. The reversal of 198212742 is 247212891.

198212742 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 198212697 and 198212706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198212743) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 676348 + ... + 676640.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 2198212742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198212742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274496040).

198212742 is an abundant number, since it is smaller than the sum of its proper divisors (350779338).

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

198212742 is a wasteful number, since it uses less digits than its factorization.

198212742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 198212742 is about 14078.8047077868. The cubic root of 198212742 is about 583.0563413819.

The spelling of 198212742 in words is "one hundred ninety-eight million, two hundred twelve thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 59 63 78 91 98 117 118 126 147 177 182 234 273 293 294 354 413 441 531 546 586 637 767 819 826 879 882 1062 1239 1274 1534 1638 1758 1911 2051 2301 2478 2637 2891 3717 3809 3822 4102 4602 5274 5369 5733 5782 6153 6903 7434 7618 8673 10738 11427 11466 12306 13806 14357 16107 17287 17346 18459 22854 26019 26663 28714 32214 34281 34574 36918 37583 43071 48321 51861 52038 53326 68562 75166 79989 86142 96642 103722 112749 121009 129213 155583 159978 186641 224731 225498 239967 242018 258426 311166 338247 363027 373282 449462 479934 559923 674193 676494 726054 847063 1089081 1119846 1348386 1573117 1679769 1694126 2022579 2178162 2541189 3146234 3359538 4045158 4719351 5082378 7623567 9438702 11011819 14158053 15247134 22023638 28316106 33035457 66070914 99106371 198212742