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2226354 = 2313172373
BaseRepresentation
bin1000011111100010110010
311012002222120
420133202302
51032220404
6115415110
724631554
oct10374262
94162876
102226354
111290769
128b4496
135cc490
1441d4d4
152de9d9
hex21f8b2

2226354 has 64 divisors (see below), whose sum is σ = 5370624. Its totient is φ = 608256.

The previous prime is 2226353. The next prime is 2226373. The reversal of 2226354 is 4536222.

2226354 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 22 + 28 + 219 + 68 + 38 + 56 + 4 .

It is not an unprimeable number, because it can be changed into a prime (2226353) 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 31 ways as a sum of consecutive naturals, for example, 30462 + ... + 30534.

It is an arithmetic number, because the mean of its divisors is an integer number (83916).

22226354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2226354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685312).

2226354 is an abundant number, since it is smaller than the sum of its proper divisors (3144270).

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

2226354 is a wasteful number, since it uses less digits than its factorization.

2226354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its digits is 2880, while the sum is 24.

The square root of 2226354 is about 1492.0971818216. The cubic root of 2226354 is about 130.5764147815.

The spelling of 2226354 in words is "two million, two hundred twenty-six thousand, three hundred fifty-four".

Divisors: 1 2 3 6 13 17 23 26 34 39 46 51 69 73 78 102 138 146 219 221 299 391 438 442 598 663 782 897 949 1173 1241 1326 1679 1794 1898 2346 2482 2847 3358 3723 5037 5083 5694 7446 10074 10166 15249 16133 21827 28543 30498 32266 43654 48399 57086 65481 85629 96798 130962 171258 371059 742118 1113177 2226354