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4198100 = 225241981
BaseRepresentation
bin10000000000111011010100
321220021201012
4100000323110
52033314400
6225551352
750453234
oct20007324
97807635
104198100
112408105
1214a5558
13b3caaa
147b3cc4
1557dd35
hex400ed4

4198100 has 18 divisors (see below), whose sum is σ = 9110094. Its totient is φ = 1679200.

The previous prime is 4198097. The next prime is 4198111. The reversal of 4198100 is 18914.

It can be written as a sum of positive squares in 3 ways, for example, as 20164 + 4177936 = 142^2 + 2044^2 .

It is a super-2 number, since 2×41981002 = 35248087220000, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20891 + ... + 21090.

Almost surely, 24198100 is an apocalyptic number.

It is an amenable number.

4198100 is an abundant number, since it is smaller than the sum of its proper divisors (4911994).

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

4198100 is a wasteful number, since it uses less digits than its factorization.

4198100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41995 (or 41988 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 4198100 is about 2048.9265482198. The cubic root of 4198100 is about 161.3185314532.

The spelling of 4198100 in words is "four million, one hundred ninety-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 41981 83962 167924 209905 419810 839620 1049525 2099050 4198100