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198115190 = 25713436183
BaseRepresentation
bin10111100111011…
…11111101110110
3111210210021221122
423303233331312
5401204141230
631354143542
74623644210
oct1363577566
9453707848
10198115190
11a1915969
1256421bb2
1332077430
141c4515b0
15125d5be5
hexbceff76

198115190 has 128 divisors (see below), whose sum is σ = 461970432. Its totient is φ = 59512320.

The previous prime is 198115133. The next prime is 198115213. The reversal of 198115190 is 91511891.

It is a super-2 number, since 2×1981151902 = 78499257017472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 198115190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2386889 + ... + 2386971.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2198115190 is an apocalyptic number.

198115190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198115190 is an abundant number, since it is smaller than the sum of its proper divisors (263855242).

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

198115190 is a wasteful number, since it uses less digits than its factorization.

198115190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214.

The product of its (nonzero) digits is 3240, while the sum is 35.

The square root of 198115190 is about 14075.3397827548. The cubic root of 198115190 is about 582.9606737250.

It can be divided in two parts, 1981 and 15190, that added together give a palindrome (17171).

The spelling of 198115190 in words is "one hundred ninety-eight million, one hundred fifteen thousand, one hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 43 61 65 70 83 86 91 122 130 166 182 215 301 305 415 427 430 455 559 581 602 610 793 830 854 910 1079 1118 1162 1505 1586 2135 2158 2623 2795 2905 3010 3569 3913 3965 4270 5063 5246 5395 5551 5590 5810 7138 7553 7826 7930 10126 10790 11102 13115 15106 17845 18361 19565 24983 25315 26230 27755 34099 35441 35690 36722 37765 39130 46397 49966 50630 55510 65819 68198 70882 75530 91805 92794 124915 131638 170495 177205 183610 217709 231985 238693 249830 324779 329095 340990 354410 435418 460733 463970 477386 649558 658190 921466 1088545 1193465 1523963 1623895 2177090 2303665 2386930 2830217 3047926 3247790 4607330 5660434 7619815 14151085 15239630 19811519 28302170 39623038 99057595 198115190