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198858241 = 4115730893
BaseRepresentation
bin10111101101001…
…01011000000001
3111212012001020001
423312211120001
5401401430431
631422120001
74633160431
oct1366453001
9455161201
10198858241
11a228315a
1256720001
13322776ca
141c5a62c1
15126d0e61
hexbda5601

198858241 has 8 divisors (see below), whose sum is σ = 205012584. Its totient is φ = 192766080.

The previous prime is 198858229. The next prime is 198858259. The reversal of 198858241 is 142858891.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 640000 + 198218241 = 800^2 + 14079^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 198858241 - 219 = 198333953 is a prime.

It is a super-2 number, since 2×1988582412 = 79089200027228162, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 198858191 and 198858200.

It is not an unprimeable number, because it can be changed into a prime (198858641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9010 + ... + 21883.

It is an arithmetic number, because the mean of its divisors is an integer number (25626573).

Almost surely, 2198858241 is an apocalyptic number.

It is an amenable number.

198858241 is a deficient number, since it is larger than the sum of its proper divisors (6154343).

198858241 is a wasteful number, since it uses less digits than its factorization.

198858241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31091.

The product of its digits is 184320, while the sum is 46.

The square root of 198858241 is about 14101.7105699982. The cubic root of 198858241 is about 583.6885820503.

The spelling of 198858241 in words is "one hundred ninety-eight million, eight hundred fifty-eight thousand, two hundred forty-one".

Divisors: 1 41 157 6437 30893 1266613 4850201 198858241