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198226512 = 243211235441
BaseRepresentation
bin10111101000010…
…11001001010000
3111210222221122200
423310023021100
5401221222022
631400403200
74624616601
oct1364131120
9453887580
10198226512
11a1991570
1256476500
13320b5cc3
141c47dda8
1512608bac
hexbd0b250

198226512 has 120 divisors (see below), whose sum is σ = 631620288. Its totient is φ = 57446400.

The previous prime is 198226507. The next prime is 198226537. The reversal of 198226512 is 215622891.

It is a super-2 number, since 2×1982265122 = 78587500119372288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33712 + ... + 39152.

Almost surely, 2198226512 is an apocalyptic number.

198226512 is a gapful number since it is divisible by the number (12) 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 198226512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315810144).

198226512 is an abundant number, since it is smaller than the sum of its proper divisors (433393776).

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

198226512 is a wasteful number, since it uses less digits than its factorization.

198226512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5489 (or 5480 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 198226512 is about 14079.2937322864. The cubic root of 198226512 is about 583.0698428683.

The spelling of 198226512 in words is "one hundred ninety-eight million, two hundred twenty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 33 36 44 46 48 66 69 72 88 92 99 132 138 144 176 184 198 207 253 264 276 368 396 414 506 528 552 759 792 828 1012 1104 1518 1584 1656 2024 2277 3036 3312 4048 4554 5441 6072 9108 10882 12144 16323 18216 21764 32646 36432 43528 48969 59851 65292 87056 97938 119702 125143 130584 179553 195876 239404 250286 261168 359106 375429 391752 478808 500572 538659 718212 750858 783504 957616 1001144 1077318 1126287 1376573 1436424 1501716 2002288 2154636 2252574 2753146 2872848 3003432 4129719 4309272 4505148 5506292 6006864 8259438 8618544 9010296 11012584 12389157 16518876 18020592 22025168 24778314 33037752 49556628 66075504 99113256 198226512