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22224244 = 2272149761
BaseRepresentation
bin101010011000…
…1110101110100
31112211002221011
41110301311310
521142133434
62112202004
7356621500
oct124616564
945732834
1022224244
11115aa449
127539304
1347b1953
142d47300
151e3ee64
hex1531d74

22224244 has 36 divisors (see below), whose sum is σ = 45605700. Its totient is φ = 9448320.

The previous prime is 22224229. The next prime is 22224247. The reversal of 22224244 is 44242222.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 879844 + 21344400 = 938^2 + 4620^2 .

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 (22224247) 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, 28824 + ... + 29584.

It is an arithmetic number, because the mean of its divisors is an integer number (1266825).

Almost surely, 222224244 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 22224244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22802850).

22224244 is an abundant number, since it is smaller than the sum of its proper divisors (23381456).

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

22224244 is a wasteful number, since it uses less digits than its factorization.

22224244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 919 counting only the distinct ones).

The product of its digits is 2048, while the sum is 22.

The square root of 22224244 is about 4714.2596449496. The cubic root of 22224244 is about 281.1527476758.

Adding to 22224244 its reverse (44242222), we get a palindrome (66466466).

The spelling of 22224244 in words is "twenty-two million, two hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 149 196 298 596 761 1043 1522 2086 3044 4172 5327 7301 10654 14602 21308 29204 37289 74578 113389 149156 226778 453556 793723 1587446 3174892 5556061 11112122 22224244