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198226980 = 2233572292
BaseRepresentation
bin10111101000010…
…11010000100100
3111210222222022000
423310023100210
5401221230410
631400405300
74624621140
oct1364132044
9453888260
10198226980
11a1991956
1256476830
13320b6293
141c480220
1512608dc0
hexbd0b424

198226980 has 144 divisors (see below), whose sum is σ = 707898240. Its totient is φ = 45111168.

The previous prime is 198226979. The next prime is 198226993. The reversal of 198226980 is 89622891.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 865506 + ... + 865734.

It is an arithmetic number, because the mean of its divisors is an integer number (4915960).

Almost surely, 2198226980 is an apocalyptic number.

198226980 is a gapful number since it is divisible by the number (10) 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 198226980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353949120).

198226980 is an abundant number, since it is smaller than the sum of its proper divisors (509671260).

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

198226980 is a wasteful number, since it uses less digits than its factorization.

198226980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 198226980 is about 14079.3103524285. The cubic root of 198226980 is about 583.0703017314.

198226980 divided by its sum of digits (45) gives a palindrome (4405044).

The spelling of 198226980 in words is "one hundred ninety-eight million, two hundred twenty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 229 252 270 315 378 420 458 540 630 687 756 916 945 1145 1260 1374 1603 1890 2061 2290 2748 3206 3435 3780 4122 4580 4809 6183 6412 6870 8015 8244 9618 10305 12366 13740 14427 16030 19236 20610 24045 24732 28854 30915 32060 41220 43281 48090 52441 57708 61830 72135 86562 96180 104882 123660 144270 157323 173124 209764 216405 262205 288540 314646 367087 432810 471969 524410 629292 734174 786615 865620 943938 1048820 1101261 1415907 1468348 1573230 1835435 1887876 2202522 2359845 2831814 3146460 3303783 3670870 4405044 4719690 5506305 5663628 6607566 7079535 7341740 9439380 9911349 11012610 13215132 14159070 16518915 19822698 22025220 28318140 33037830 39645396 49556745 66075660 99113490 198226980