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198084690 = 23451961211
BaseRepresentation
bin10111100111010…
…00100001010010
3111210201202010000
423303220201102
5401202202230
631353350430
74623456246
oct1363504122
9453652100
10198084690
11a18a4a61
1256408416
133206659b
141c444426
15125cbb60
hexbce8852

198084690 has 160 divisors (see below), whose sum is σ = 572552640. Its totient is φ = 48988800.

The previous prime is 198084673. The next prime is 198084727. The reversal of 198084690 is 96480891.

It is a super-2 number, since 2×1980846902 = 78475088824792200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 938685 + ... + 938895.

It is an arithmetic number, because the mean of its divisors is an integer number (3578454).

Almost surely, 2198084690 is an apocalyptic number.

198084690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198084690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286276320).

198084690 is an abundant number, since it is smaller than the sum of its proper divisors (374467950).

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

198084690 is a wasteful number, since it uses less digits than its factorization.

198084690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

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

The square root of 198084690 is about 14074.2562858575. The cubic root of 198084690 is about 582.9307564278.

The spelling of 198084690 in words is "one hundred ninety-eight million, eighty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 61 81 90 95 114 122 135 162 171 183 190 211 270 285 305 342 366 405 422 513 549 570 610 633 810 855 915 1026 1055 1098 1159 1266 1539 1647 1710 1830 1899 2110 2318 2565 2745 3078 3165 3294 3477 3798 4009 4941 5130 5490 5697 5795 6330 6954 7695 8018 8235 9495 9882 10431 11394 11590 12027 12871 15390 16470 17091 17385 18990 20045 20862 24054 24705 25742 28485 31293 34182 34770 36081 38613 40090 49410 52155 56970 60135 62586 64355 72162 77226 85455 93879 104310 108243 115839 120270 128710 156465 170910 180405 187758 193065 216486 231678 244549 312930 324729 347517 360810 386130 469395 489098 541215 579195 649458 695034 733647 938790 1042551 1082430 1158390 1222745 1467294 1623645 1737585 2085102 2200941 2445490 3247290 3475170 3668235 4401882 5212755 6602823 7336470 10425510 11004705 13205646 19808469 22009410 33014115 39616938 66028230 99042345 198084690