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2198190 = 235471559
BaseRepresentation
bin1000011000101010101110
311010200100110
420120222232
51030320230
6115040450
724453501
oct10305256
94120313
102198190
111271595
128a0126
135bc707
14413138
152d64b0
hex218aae

2198190 has 32 divisors (see below), whose sum is σ = 5391360. Its totient is φ = 573344.

The previous prime is 2198159. The next prime is 2198191. The reversal of 2198190 is 918912.

It is a super-2 number, since 2×21981902 = 9664078552200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198191) 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, 631 + ... + 2189.

It is an arithmetic number, because the mean of its divisors is an integer number (168480).

22198190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2695680).

2198190 is an abundant number, since it is smaller than the sum of its proper divisors (3193170).

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

2198190 is a wasteful number, since it uses less digits than its factorization.

2198190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616.

The product of its (nonzero) digits is 1296, while the sum is 30.

The square root of 2198190 is about 1482.6294209950. The cubic root of 2198190 is about 130.0234671639.

The spelling of 2198190 in words is "two million, one hundred ninety-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 1410 1559 3118 4677 7795 9354 15590 23385 46770 73273 146546 219819 366365 439638 732730 1099095 2198190