Search a number
-
+
2227368 = 2331121359
BaseRepresentation
bin1000011111110010101000
311012011101010
420133302220
51032233433
6115423520
724634533
oct10376250
94164333
102227368
111291500
128b4ba0
135cca90
1441da1a
152dee63
hex21fca8

2227368 has 96 divisors (see below), whose sum is σ = 6703200. Its totient is φ = 612480.

The previous prime is 2227367. The next prime is 2227369. The reversal of 2227368 is 8637222.

2227368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2227367) and next prime (2227369).

It is a super-2 number, since 2×22273682 = 9922336414848, which contains 22 as substring.

It is a d-powerful number, because it can be written as 25 + 218 + 218 + 75 + 38 + 68 + 82 .

It is not an unprimeable number, because it can be changed into a prime (2227361) 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 23 ways as a sum of consecutive naturals, for example, 37723 + ... + 37781.

It is an arithmetic number, because the mean of its divisors is an integer number (69825).

22227368 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 2227368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351600).

2227368 is an abundant number, since it is smaller than the sum of its proper divisors (4475832).

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

2227368 is a wasteful number, since it uses less digits than its factorization.

2227368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 2227368 is about 1492.4369333409. The cubic root of 2227368 is about 130.5962355870.

The spelling of 2227368 in words is "two million, two hundred twenty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 59 66 78 88 104 118 121 132 143 156 177 236 242 264 286 312 354 363 429 472 484 572 649 708 726 767 858 968 1144 1298 1416 1452 1534 1573 1716 1947 2301 2596 2904 3068 3146 3432 3894 4602 4719 5192 6136 6292 7139 7788 8437 9204 9438 12584 14278 15576 16874 18408 18876 21417 25311 28556 33748 37752 42834 50622 57112 67496 85668 92807 101244 171336 185614 202488 278421 371228 556842 742456 1113684 2227368