Search a number
-
+
198955944 = 233211241557
BaseRepresentation
bin10111101101111…
…01001110101000
3111212101000020200
423312331032220
5401413042234
631424152200
74634045325
oct1366751650
9455330220
10198955944
11a233a600
1256768660
13322b0015
141c5cdb4c
15126eed99
hexbdbd3a8

198955944 has 144 divisors (see below), whose sum is σ = 607812660. Its totient is φ = 58713600.

The previous prime is 198955943. The next prime is 198955997. The reversal of 198955944 is 449559891.

198955944 is a `hidden beast` number, since 1 + 9 + 89 + 559 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149084100 + 49871844 = 12210^2 + 7062^2 .

It is a super-2 number, since 2×1989559442 = 79166935305862272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (198955943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 356914 + ... + 357470.

Almost surely, 2198955944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198955944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303906330).

198955944 is an abundant number, since it is smaller than the sum of its proper divisors (408856716).

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

198955944 is a wasteful number, since it uses less digits than its factorization.

198955944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 614 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 198955944 is about 14105.1743697127. The cubic root of 198955944 is about 583.7841589935.

The spelling of 198955944 in words is "one hundred ninety-eight million, nine hundred fifty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 121 123 132 164 198 242 246 264 328 363 369 396 451 484 492 557 726 738 792 902 968 984 1089 1114 1353 1452 1476 1671 1804 2178 2228 2706 2904 2952 3342 3608 4059 4356 4456 4961 5013 5412 6127 6684 8118 8712 9922 10026 10824 12254 13368 14883 16236 18381 19844 20052 22837 24508 29766 32472 36762 39688 40104 44649 45674 49016 55143 59532 67397 68511 73524 89298 91348 110286 119064 134794 137022 147048 178596 182696 202191 205533 220572 251207 269588 274044 357192 404382 411066 441144 502414 539176 548088 606573 753621 808764 822132 1004828 1213146 1507242 1617528 1644264 2009656 2260863 2426292 2763277 3014484 4521726 4852584 5526554 6028968 8289831 9043452 11053108 16579662 18086904 22106216 24869493 33159324 49738986 66318648 99477972 198955944