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2223864 = 233267461
BaseRepresentation
bin1000011110111011111000
311011222120100
420132323320
51032130424
6115355400
724621366
oct10367370
94158510
102223864
111289905
128b2b60
135cb2c6
1441c636
152dddc9
hex21eef8

2223864 has 48 divisors (see below), whose sum is σ = 6126120. Its totient is φ = 728640.

The previous prime is 2223857. The next prime is 2223869. The reversal of 2223864 is 4683222.

2223864 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223869) 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 11 ways as a sum of consecutive naturals, for example, 4594 + ... + 5054.

22223864 is an apocalyptic number.

2223864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2223864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063060).

2223864 is an abundant number, since it is smaller than the sum of its proper divisors (3902256).

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

2223864 is a wasteful number, since it uses less digits than its factorization.

2223864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 533 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2223864 is about 1491.2625523361. The cubic root of 2223864 is about 130.5277168415.

The spelling of 2223864 in words is "two million, two hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 461 536 603 804 922 1206 1383 1608 1844 2412 2766 3688 4149 4824 5532 8298 11064 16596 30887 33192 61774 92661 123548 185322 247096 277983 370644 555966 741288 1111932 2223864