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224412104 = 237172337277
BaseRepresentation
bin11010110000001…
…00000111001000
3120122021022112102
431120010013020
5424422141404
634133532532
75363320460
oct1530040710
9518238472
10224412104
11105747154
12631a4148
1337653a37
1421b38ba0
1514a7c71e
hexd6041c8

224412104 has 128 divisors (see below), whose sum is σ = 547637760. Its totient is φ = 83939328.

The previous prime is 224412079. The next prime is 224412109. The reversal of 224412104 is 401214422.

It is not an unprimeable number, because it can be changed into a prime (224412109) 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, 810014 + ... + 810290.

It is an arithmetic number, because the mean of its divisors is an integer number (4278420).

Almost surely, 2224412104 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 224412104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273818880).

224412104 is an abundant number, since it is smaller than the sum of its proper divisors (323225656).

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

224412104 is a wasteful number, since it uses less digits than its factorization.

224412104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 224412104 is about 14980.3906491119. The cubic root of 224412104 is about 607.6900038483.

Adding to 224412104 its reverse (401214422), we get a palindrome (625626526).

The spelling of 224412104 in words is "two hundred twenty-four million, four hundred twelve thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 23 28 34 37 46 56 68 74 92 119 136 148 161 184 238 259 277 296 322 391 476 518 554 629 644 782 851 952 1036 1108 1258 1288 1564 1702 1939 2072 2216 2516 2737 3128 3404 3878 4403 4709 5032 5474 5957 6371 6808 7756 8806 9418 10249 10948 11914 12742 14467 15512 17612 18836 20498 21896 23828 25484 28934 32963 35224 37672 40996 44597 47656 50968 57868 65926 71743 81992 89194 101269 108307 115736 131852 143486 174233 178388 202538 216614 235727 263704 286972 348466 356776 405076 433228 471454 573944 696932 758149 810152 866456 942908 1219631 1393864 1516298 1650089 1885816 2439262 3032596 3300178 4007359 4878524 6065192 6600356 8014718 9757048 13200712 16029436 28051513 32058872 56103026 112206052 224412104