Search a number
-
+
198436100 = 22521984361
BaseRepresentation
bin10111101001111…
…10010100000100
3111211101121011012
423310332110010
5401244423400
631405101352
74626451622
oct1364762404
9454347135
10198436100
11a2014a85
1256557858
133215a515
141c4d6512
151264ad35
hexbd3e504

198436100 has 18 divisors (see below), whose sum is σ = 430606554. Its totient is φ = 79374400.

The previous prime is 198436093. The next prime is 198436109. The reversal of 198436100 is 1634891.

It is a happy number.

198436100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 198190084 = 496^2 + 14078^2 .

It is not an unprimeable number, because it can be changed into a prime (198436109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 992081 + ... + 992280.

Almost surely, 2198436100 is an apocalyptic number.

198436100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198436100 is an abundant number, since it is smaller than the sum of its proper divisors (232170454).

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

198436100 is a wasteful number, since it uses less digits than its factorization.

198436100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1984375 (or 1984368 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 198436100 is about 14086.7348949286. The cubic root of 198436100 is about 583.2752667825.

The spelling of 198436100 in words is "one hundred ninety-eight million, four hundred thirty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1984361 3968722 7937444 9921805 19843610 39687220 49609025 99218050 198436100