Search a number
-
+
444331224 = 233337531049
BaseRepresentation
bin11010011110111…
…111010011011000
31010222002100212000
4122132333103120
51402222044344
6112031321000
714003516211
oct3236772330
91128070760
10444331224
112088a4697
12104980160
13710936ac
1443024408
152901da69
hex1a7bf4d8

444331224 has 128 divisors (see below), whose sum is σ = 1292760000. Its totient is φ = 141253632.

The previous prime is 444331189. The next prime is 444331229. The reversal of 444331224 is 422133444.

It is a happy number.

444331224 is a `hidden beast` number, since 4 + 4 + 433 + 1 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (444331229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423052 + ... + 424100.

Almost surely, 2444331224 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 444331224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646380000).

444331224 is an abundant number, since it is smaller than the sum of its proper divisors (848428776).

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

444331224 is a wasteful number, since it uses less digits than its factorization.

444331224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1144 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 444331224 is about 21079.1656381366. The cubic root of 444331224 is about 763.0780203377.

Adding to 444331224 its reverse (422133444), we get a palindrome (866464668).

The spelling of 444331224 in words is "four hundred forty-four million, three hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 53 54 72 74 106 108 111 148 159 212 216 222 296 318 333 424 444 477 636 666 888 954 999 1049 1272 1332 1431 1908 1961 1998 2098 2664 2862 3147 3816 3922 3996 4196 5724 5883 6294 7844 7992 8392 9441 11448 11766 12588 15688 17649 18882 23532 25176 28323 35298 37764 38813 47064 52947 55597 56646 70596 75528 77626 105894 111194 113292 116439 141192 155252 166791 211788 222388 226584 232878 310504 333582 349317 423576 444776 465756 500373 667164 698634 931512 1000746 1047951 1334328 1397268 1501119 2001492 2057089 2095902 2794536 3002238 4002984 4114178 4191804 6004476 6171267 8228356 8383608 12008952 12342534 16456712 18513801 24685068 37027602 49370136 55541403 74055204 111082806 148110408 222165612 444331224