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198227456 = 297194171
BaseRepresentation
bin10111101000010…
…11011000000000
3111210222222221122
423310023120000
5401221234311
631400411412
74624622420
oct1364133000
9453888848
10198227456
11a1992249
1256476b68
13320b656b
141c480480
15126090db
hexbd0b600

198227456 has 160 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 77414400.

The previous prime is 198227417. The next prime is 198227467. The reversal of 198227456 is 654722891.

It is a happy number.

Its product of digits (241920) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2791901 + ... + 2791971.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2198227456 is an apocalyptic number.

198227456 is a gapful number since it is divisible by the number (16) 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 198227456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

198227456 is an abundant number, since it is smaller than the sum of its proper divisors (296740864).

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

198227456 is an equidigital number, since it uses as much as digits as its factorization.

198227456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its digits is 241920, while the sum is 44.

The square root of 198227456 is about 14079.3272566554. The cubic root of 198227456 is about 583.0707684375.

The spelling of 198227456 in words is "one hundred ninety-eight million, two hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 71 76 82 112 128 133 142 152 164 224 256 266 284 287 304 328 448 497 512 532 568 574 608 656 779 896 994 1064 1136 1148 1216 1312 1349 1558 1792 1988 2128 2272 2296 2432 2624 2698 2911 3116 3584 3976 4256 4544 4592 4864 5248 5396 5453 5822 6232 7952 8512 9088 9184 9443 9728 10496 10792 10906 11644 12464 15904 17024 18176 18368 18886 20377 20992 21584 21812 23288 24928 31808 34048 36352 36736 37772 40754 43168 43624 46576 49856 55309 63616 68096 73472 75544 81508 86336 87248 93152 99712 110618 127232 146944 151088 163016 172672 174496 186304 199424 221236 254464 302176 326032 345344 348992 372608 387163 398848 442472 604352 652064 690688 697984 745216 774326 884944 1208704 1304128 1395968 1490432 1548652 1769888 2417408 2608256 2791936 3097304 3539776 4834816 5216512 6194608 7079552 10433024 12389216 14159104 24778432 28318208 49556864 99113728 198227456