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4226244 = 22311101317
BaseRepresentation
bin10000000111110011000100
321221201022120
4100013303010
52040214434
6230325540
750631261
oct20076304
97851276
104226244
112427270
1214b98b0
13b4c849
147c0268
15587349
hex407cc4

4226244 has 48 divisors (see below), whose sum is σ = 10898496. Its totient is φ = 1264000.

The previous prime is 4226231. The next prime is 4226249. The reversal of 4226244 is 4426224.

4226244 = T306 + T307 + ... + T377.

It is a super-3 number, since 3×42262443 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (4226249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13174 + ... + 13490.

It is an arithmetic number, because the mean of its divisors is an integer number (227052).

Almost surely, 24226244 is an apocalyptic number.

4226244 is a gapful number since it is divisible by the number (44) 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 4226244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449248).

4226244 is an abundant number, since it is smaller than the sum of its proper divisors (6672252).

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

4226244 is a wasteful number, since it uses less digits than its factorization.

4226244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 434 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4226244 is about 2055.7830624850. The cubic root of 4226244 is about 161.6782212074.

It can be divided in two parts, 422 and 6244, that added together give a palindrome (6666).

The spelling of 4226244 in words is "four million, two hundred twenty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 317 404 606 634 951 1111 1212 1268 1902 2222 3333 3487 3804 4444 6666 6974 10461 13332 13948 20922 32017 41844 64034 96051 128068 192102 352187 384204 704374 1056561 1408748 2113122 4226244