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198508968 = 23347107409
BaseRepresentation
bin10111101010100…
…00000110101000
3111211112022010000
423311100012220
5401304241333
631410423000
74630204230
oct1365200650
9454468100
10198508968
11a20647a9
1256591a60
1332184738
141c514cc0
1512662713
hexbd501a8

198508968 has 160 divisors (see below), whose sum is σ = 642945600. Its totient is φ = 56049408.

The previous prime is 198508957. The next prime is 198508969. The reversal of 198508968 is 869805891.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (198508969) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 485148 + ... + 485556.

It is an arithmetic number, because the mean of its divisors is an integer number (4018410).

Almost surely, 2198508968 is an apocalyptic number.

198508968 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 198508968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321472800).

198508968 is an abundant number, since it is smaller than the sum of its proper divisors (444436632).

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

198508968 is a wasteful number, since it uses less digits than its factorization.

198508968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 198508968 is about 14089.3210624217. The cubic root of 198508968 is about 583.3466531562.

The spelling of 198508968 in words is "one hundred ninety-eight million, five hundred eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 107 108 126 162 168 189 214 216 252 321 324 378 409 428 504 567 642 648 749 756 818 856 963 1134 1227 1284 1498 1512 1636 1926 2247 2268 2454 2568 2863 2889 2996 3272 3681 3852 4494 4536 4908 5726 5778 5992 6741 7362 7704 8589 8667 8988 9816 11043 11452 11556 13482 14724 17178 17334 17976 20223 22086 22904 23112 25767 26964 29448 33129 34356 34668 40446 43763 44172 51534 53928 60669 66258 68712 69336 77301 80892 87526 88344 103068 121338 131289 132516 154602 161784 175052 206136 231903 242676 262578 265032 306341 309204 350104 393867 463806 485352 525156 612682 618408 787734 919023 927612 1050312 1181601 1225364 1575468 1838046 1855224 2363202 2450728 2757069 3150936 3544803 3676092 4726404 5514138 7089606 7352184 8271207 9452808 11028276 14179212 16542414 22056552 24813621 28358424 33084828 49627242 66169656 99254484 198508968