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411444220 = 225112517451
BaseRepresentation
bin11000100001100…
…010001111111100
31001200012112100211
4120201202033330
51320312203340
6104454402204
713124134555
oct3041421774
91050175324
10411444220
111a1282150
12b5960364
136731a625
143c90332c
15261c45ea
hex188623fc

411444220 has 48 divisors (see below), whose sum is σ = 946463616. Its totient is φ = 149000000.

The previous prime is 411444193. The next prime is 411444223. The reversal of 411444220 is 22444114.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 411444191 and 411444200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411444223) 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, 51495 + ... + 58945.

It is an arithmetic number, because the mean of its divisors is an integer number (19717992).

Almost surely, 2411444220 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 411444220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473231808).

411444220 is an abundant number, since it is smaller than the sum of its proper divisors (535019396).

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

411444220 is a wasteful number, since it uses less digits than its factorization.

411444220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7722 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 411444220 is about 20284.0878523043. The cubic root of 411444220 is about 743.7671425091.

Adding to 411444220 its reverse (22444114), we get a palindrome (433888334).

The spelling of 411444220 in words is "four hundred eleven million, four hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 251 502 1004 1255 2510 2761 5020 5522 7451 11044 13805 14902 27610 29804 37255 55220 74510 81961 149020 163922 327844 409805 819610 1639220 1870201 3740402 7480804 9351005 18702010 20572211 37404020 41144422 82288844 102861055 205722110 411444220