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2198430 = 2325131879
BaseRepresentation
bin1000011000101110011110
311010200200100
420120232132
51030322210
6115041530
724454263
oct10305636
94120610
102198430
111271793
128a02a6
135bc860
1441326a
152d65c0
hex218b9e

2198430 has 48 divisors (see below), whose sum is σ = 6158880. Its totient is φ = 540864.

The previous prime is 2198419. The next prime is 2198431. The reversal of 2198430 is 348912.

2198430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2198394 and 2198403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (128310).

22198430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079440).

2198430 is an abundant number, since it is smaller than the sum of its proper divisors (3960450).

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

2198430 is a wasteful number, since it uses less digits than its factorization.

2198430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2198430 is about 1482.7103560709. The cubic root of 2198430 is about 130.0281990110.

It can be divided in two parts, 2198 and 430, that added together give a triangular number (2628 = T72).

The spelling of 2198430 in words is "two million, one hundred ninety-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 1879 3758 5637 9395 11274 16911 18790 24427 28185 33822 48854 56370 73281 84555 122135 146562 169110 219843 244270 366405 439686 732810 1099215 2198430