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224212044 = 223723671039
BaseRepresentation
bin11010101110100…
…11010001001100
3120121220011002210
431113103101030
5424344241134
634125350420
75361525300
oct1527232114
9517804083
10224212044
1110561a911
1263108410
13375b3964
1421ac5d00
1514a3d2e9
hexd5d344c

224212044 has 72 divisors (see below), whose sum is σ = 610821120. Its totient is φ = 63824544.

The previous prime is 224212013. The next prime is 224212049. The reversal of 224212044 is 440212422.

224212044 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 224212044.

It is not an unprimeable number, because it can be changed into a prime (224212049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215277 + ... + 216315.

Almost surely, 2224212044 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 224212044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305410560).

224212044 is an abundant number, since it is smaller than the sum of its proper divisors (386609076).

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

224212044 is a wasteful number, since it uses less digits than its factorization.

224212044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 224212044 is about 14973.7117642888. The cubic root of 224212044 is about 607.5093680074.

Adding to 224212044 its reverse (440212422), we get a palindrome (664424466).

The spelling of 224212044 in words is "two hundred twenty-four million, two hundred twelve thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 367 588 734 1039 1101 1468 2078 2202 2569 3117 4156 4404 5138 6234 7273 7707 10276 12468 14546 15414 17983 21819 29092 30828 35966 43638 50911 53949 71932 87276 101822 107898 152733 203644 215796 305466 381313 610932 762626 1143939 1525252 2287878 2669191 4575756 5338382 8007573 10676764 16015146 18684337 32030292 37368674 56053011 74737348 112106022 224212044