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441007224 = 233718114503
BaseRepresentation
bin11010010010010…
…011110001111000
31010201211111011220
4122102103301320
51400344212344
6111432152040
713633333230
oct3222236170
91121744156
10441007224
11206a34289
12103838620
137049b728
14427dacc0
1528ab3c19
hex1a493c78

441007224 has 64 divisors (see below), whose sum is σ = 1267069440. Its totient is φ = 125297280.

The previous prime is 441007213. The next prime is 441007249. The reversal of 441007224 is 422700144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 441007194 and 441007203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23157 + ... + 37659.

It is an arithmetic number, because the mean of its divisors is an integer number (19797960).

Almost surely, 2441007224 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 441007224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633534720).

441007224 is an abundant number, since it is smaller than the sum of its proper divisors (826062216).

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

441007224 is a wasteful number, since it uses less digits than its factorization.

441007224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14700 (or 14696 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 24.

The square root of 441007224 is about 21000.1719992956. The cubic root of 441007224 is about 761.1704172888.

Adding to 441007224 its reverse (422700144), we get a palindrome (863707368).

The spelling of 441007224 in words is "four hundred forty-one million, seven thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 181 362 543 724 1086 1267 1448 2172 2534 3801 4344 5068 7602 10136 14503 15204 29006 30408 43509 58012 87018 101521 116024 174036 203042 304563 348072 406084 609126 812168 1218252 2436504 2625043 5250086 7875129 10500172 15750258 18375301 21000344 31500516 36750602 55125903 63001032 73501204 110251806 147002408 220503612 441007224