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2223630 = 232531797
BaseRepresentation
bin1000011110111000001110
311011222020200
420132320032
51032124010
6115354330
724620613
oct10367016
94158220
102223630
111289712
128b29a6
135cb176
1441c50a
152ddcc0
hex21ee0e

2223630 has 48 divisors (see below), whose sum is σ = 5975424. Its totient is φ = 573120.

The previous prime is 2223623. The next prime is 2223631. The reversal of 2223630 is 363222.

2223630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 23 + 25 + 219 + 3 + 68 + 39 + 0 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223631) 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, 2392 + ... + 3188.

It is an arithmetic number, because the mean of its divisors is an integer number (124488).

22223630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2987712).

2223630 is an abundant number, since it is smaller than the sum of its proper divisors (3751794).

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

2223630 is a wasteful number, since it uses less digits than its factorization.

2223630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2223630 is about 1491.1840932628. The cubic root of 2223630 is about 130.5231385404.

Adding to 2223630 its reverse (363222), we get a palindrome (2586852).

The spelling of 2223630 in words is "two million, two hundred twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 797 930 1395 1594 2391 2790 3985 4782 7173 7970 11955 14346 23910 24707 35865 49414 71730 74121 123535 148242 222363 247070 370605 444726 741210 1111815 2223630