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2198336 = 2672701
BaseRepresentation
bin1000011000101101000000
311010200112212
420120231000
51030321321
6115041252
724454100
oct10305500
94120485
102198336
111271708
128a0228
135bc7ba
14413200
152d655b
hex218b40

2198336 has 42 divisors (see below), whose sum is σ = 5081778. Its totient is φ = 940800.

The previous prime is 2198327. The next prime is 2198347. The reversal of 2198336 is 6338912.

It can be written as a sum of positive squares in only one way, i.e., 2119936 + 78400 = 1456^2 + 280^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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, 2786 + ... + 3486.

22198336 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 2198336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540889).

2198336 is an abundant number, since it is smaller than the sum of its proper divisors (2883442).

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

2198336 is an equidigital number, since it uses as much as digits as its factorization.

2198336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 710 counting only the distinct ones).

The product of its digits is 7776, while the sum is 32.

The square root of 2198336 is about 1482.6786570259. The cubic root of 2198336 is about 130.0263457452.

The spelling of 2198336 in words is "two million, one hundred ninety-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 701 784 1402 1568 2804 3136 4907 5608 9814 11216 19628 22432 34349 39256 44864 68698 78512 137396 157024 274792 314048 549584 1099168 2198336