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2224002 = 2311311087
BaseRepresentation
bin1000011110111110000010
311011222202110
420132332002
51032132002
6115400150
724621654
oct10367602
94158673
102224002
111289a20
128b3056
135cb3a1
1441c6d4
152dde6c
hex21ef82

2224002 has 32 divisors (see below), whose sum is σ = 5013504. Its totient is φ = 651600.

The previous prime is 2223983. The next prime is 2224009. The reversal of 2224002 is 2004222.

It is a happy number.

2224002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224009) 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 15 ways as a sum of consecutive naturals, for example, 1503 + ... + 2589.

It is an arithmetic number, because the mean of its divisors is an integer number (156672).

22224002 is an apocalyptic number.

2224002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2224002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506752).

2224002 is an abundant number, since it is smaller than the sum of its proper divisors (2789502).

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

2224002 is a wasteful number, since it uses less digits than its factorization.

2224002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134.

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 2224002 is about 1491.3088211367. The cubic root of 2224002 is about 130.5304167147.

Adding to 2224002 its reverse (2004222), we get a palindrome (4228224).

It can be divided in two parts, 222 and 4002, that added together give a palindrome (4224).

The spelling of 2224002 in words is "two million, two hundred twenty-four thousand, two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 1023 1087 2046 2174 3261 6522 11957 23914 33697 35871 67394 71742 101091 202182 370667 741334 1112001 2224002