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2226798 = 233743137
BaseRepresentation
bin1000011111101001101110
311012010121000
420133221232
51032224143
6115421130
724633060
oct10375156
94163530
102226798
111291032
128b47a6
135cc742
1441d730
152debd3
hex21fa6e

2226798 has 64 divisors (see below), whose sum is σ = 5829120. Its totient is φ = 616896.

The previous prime is 2226793. The next prime is 2226811. The reversal of 2226798 is 8976222.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 22 + 214 + 219 + 68 + 74 + 9 + 84 .

Its product of digits (24192) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16186 + ... + 16322.

It is an arithmetic number, because the mean of its divisors is an integer number (91080).

22226798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2914560).

2226798 is an abundant number, since it is smaller than the sum of its proper divisors (3602322).

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

2226798 is a wasteful number, since it uses less digits than its factorization.

2226798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2226798 is about 1492.2459582790. The cubic root of 2226798 is about 130.5850944546.

The spelling of 2226798 in words is "two million, two hundred twenty-six thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 137 189 258 274 301 378 387 411 602 774 822 903 959 1161 1233 1806 1918 2322 2466 2709 2877 3699 5418 5754 5891 7398 8127 8631 11782 16254 17262 17673 25893 35346 41237 51786 53019 82474 106038 123711 159057 247422 318114 371133 742266 1113399 2226798