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198825550 = 252711431201
BaseRepresentation
bin10111101100111…
…01011001001110
3111212010101101021
423312131121032
5401344404200
631421304354
74632663220
oct1366353116
9455111337
10198825550
11a2260640
12567050ba
1332265871
141c598410
15126c641a
hexbd9d64e

198825550 has 96 divisors (see below), whose sum is σ = 472184064. Its totient is φ = 60480000.

The previous prime is 198825527. The next prime is 198825551. The reversal of 198825550 is 55528891.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 198825497 and 198825506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198825551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164950 + ... + 166150.

It is an arithmetic number, because the mean of its divisors is an integer number (4918584).

Almost surely, 2198825550 is an apocalyptic number.

198825550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198825550 is an abundant number, since it is smaller than the sum of its proper divisors (273358514).

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

198825550 is a wasteful number, since it uses less digits than its factorization.

198825550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 43.

The square root of 198825550 is about 14100.5514076578. The cubic root of 198825550 is about 583.6565954300.

The spelling of 198825550 in words is "one hundred ninety-eight million, eight hundred twenty-five thousand, five hundred fifty".

Divisors: 1 2 5 7 10 11 14 22 25 35 43 50 55 70 77 86 110 154 175 215 275 301 350 385 430 473 550 602 770 946 1075 1201 1505 1925 2150 2365 2402 3010 3311 3850 4730 6005 6622 7525 8407 11825 12010 13211 15050 16555 16814 23650 26422 30025 33110 42035 51643 60050 66055 82775 84070 92477 103286 132110 165550 184954 210175 258215 330275 361501 420350 462385 516430 568073 660550 723002 924770 1136146 1291075 1807505 2311925 2582150 2840365 3615010 3976511 4623850 5680730 7953022 9037525 14201825 18075050 19882555 28403650 39765110 99412775 198825550