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2198208 = 2631072
BaseRepresentation
bin1000011000101011000000
311010200101010
420120223000
51030320313
6115040520
724453525
oct10305300
94120333
102198208
111271601
128a0140
135bc71c
1441314c
152d64c3
hex218ac0

2198208 has 42 divisors (see below), whose sum is σ = 5870956. Its totient is φ = 725888.

The previous prime is 2198201. The next prime is 2198227. The reversal of 2198208 is 8028912.

It is a super-2 number, since 2×21982082 = 9664236822528, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2198201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20491 + ... + 20597.

22198208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2198208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935478).

2198208 is an abundant number, since it is smaller than the sum of its proper divisors (3672748).

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

2198208 is an equidigital number, since it uses as much as digits as its factorization.

2198208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 2198208 is about 1482.6354912790. The cubic root of 2198208 is about 130.0238220644.

The spelling of 2198208 in words is "two million, one hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5136 6848 10272 11449 20544 22898 34347 45796 68694 91592 137388 183184 274776 366368 549552 732736 1099104 2198208