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2205198 = 23397421
BaseRepresentation
bin1000011010011000001110
311011000222000
420122120032
51031031243
6115133130
724513102
oct10323016
94130860
102205198
111276886
128a41a6
135c2968
14415902
152d85d3
hex21a60e

2205198 has 32 divisors (see below), whose sum is σ = 4962720. Its totient is φ = 725760.

The previous prime is 2205187. The next prime is 2205199. The reversal of 2205198 is 8915022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2205199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5028 + ... + 5448.

It is an arithmetic number, because the mean of its divisors is an integer number (155085).

22205198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481360).

2205198 is an abundant number, since it is smaller than the sum of its proper divisors (2757522).

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

2205198 is a wasteful number, since it uses less digits than its factorization.

2205198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 2205198 is about 1484.9909090631. The cubic root of 2205198 is about 130.1614955478.

Adding to 2205198 its sum of digits (27), we get a square (2205225 = 14852).

The spelling of 2205198 in words is "two million, two hundred five thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 97 194 291 421 582 842 873 1263 1746 2526 2619 3789 5238 7578 11367 22734 40837 81674 122511 245022 367533 735066 1102599 2205198