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4231224 = 2333191031
BaseRepresentation
bin10000001001000000111000
321221222011000
4100021000320
52040344344
6230405000
750651634
oct20110070
97858130
104231224
11242aa88
121500760
13b51baa
147c1dc4
15588a69
hex409038

4231224 has 64 divisors (see below), whose sum is σ = 12384000. Its totient is φ = 1334880.

The previous prime is 4231219. The next prime is 4231229. The reversal of 4231224 is 4221324.

It is an interprime number because it is at equal distance from previous prime (4231219) and next prime (4231229).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4231197 and 4231206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4231229) 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, 3589 + ... + 4619.

It is an arithmetic number, because the mean of its divisors is an integer number (193500).

Almost surely, 24231224 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 4231224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6192000).

4231224 is an abundant number, since it is smaller than the sum of its proper divisors (8152776).

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

4231224 is a wasteful number, since it uses less digits than its factorization.

4231224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

The product of its digits is 384, while the sum is 18.

The square root of 4231224 is about 2056.9939231801. The cubic root of 4231224 is about 161.7417008595.

Adding to 4231224 its reverse (4221324), we get a palindrome (8452548).

The spelling of 4231224 in words is "four million, two hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1031 1368 2052 2062 3093 4104 4124 6186 8248 9279 12372 18558 19589 24744 27837 37116 39178 55674 58767 74232 78356 111348 117534 156712 176301 222696 235068 352602 470136 528903 705204 1057806 1410408 2115612 4231224