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198922560 = 2635353587
BaseRepresentation
bin10111101101101…
…01000101000000
3111212022022110020
423312311011000
5401411010220
631423333440
74633546104
oct1366650500
9455268406
10198922560
11a2317511
1256751280
133229aa75
141c5c1904
15126e5040
hexbdb5140

198922560 has 112 divisors (see below), whose sum is σ = 634447296. Its totient is φ = 52805632.

The previous prime is 198922547. The next prime is 198922573. The reversal of 198922560 is 65229891.

It is an interprime number because it is at equal distance from previous prime (198922547) and next prime (198922573).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 338587 + ... + 339173.

It is an arithmetic number, because the mean of its divisors is an integer number (5664708).

Almost surely, 2198922560 is an apocalyptic number.

198922560 is a gapful number since it is divisible by the number (10) 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 198922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317223648).

198922560 is an abundant number, since it is smaller than the sum of its proper divisors (435524736).

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

198922560 is a wasteful number, since it uses less digits than its factorization.

198922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 198922560 is about 14103.9909245575. The cubic root of 198922560 is about 583.7515049627.

The spelling of 198922560 in words is "one hundred ninety-eight million, nine hundred twenty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 353 480 587 706 960 1059 1174 1412 1761 1765 2118 2348 2824 2935 3522 3530 4236 4696 5295 5648 5870 7044 7060 8472 8805 9392 10590 11296 11740 14088 14120 16944 17610 18784 21180 22592 23480 28176 28240 33888 35220 37568 42360 46960 56352 56480 67776 70440 84720 93920 112704 112960 140880 169440 187840 207211 281760 338880 414422 563520 621633 828844 1036055 1243266 1657688 2072110 2486532 3108165 3315376 4144220 4973064 6216330 6630752 8288440 9946128 12432660 13261504 16576880 19892256 24865320 33153760 39784512 49730640 66307520 99461280 198922560