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224050212 = 2234977129
BaseRepresentation
bin11010101101010…
…11110000100100
3120121120221010000
431112223300210
5424324101322
634122101300
75360252421
oct1526536044
9517527100
10224050212
1110551a271
126304a830
13375580b9
1421a82d48
1514a0a3ac
hexd5abc24

224050212 has 60 divisors (see below), whose sum is σ = 591832780. Its totient is φ = 73903104.

The previous prime is 224050193. The next prime is 224050231. The reversal of 224050212 is 212050422.

224050212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (224050193) and next prime (224050231).

It can be written as a sum of positive squares in 2 ways, for example, as 121352256 + 102697956 = 11016^2 + 10134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27864 + ... + 34992.

Almost surely, 2224050212 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 224050212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295916390).

224050212 is an abundant number, since it is smaller than the sum of its proper divisors (367782568).

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

224050212 is a wasteful number, since it uses less digits than its factorization.

224050212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7242 (or 7231 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 224050212 is about 14968.3069182857. The cubic root of 224050212 is about 607.3631699150.

The spelling of 224050212 in words is "two hundred twenty-four million, fifty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 291 324 388 582 873 1164 1746 2619 3492 5238 7129 7857 10476 14258 15714 21387 28516 31428 42774 64161 85548 128322 192483 256644 384966 577449 691513 769932 1154898 1383026 2074539 2309796 2766052 4149078 6223617 8298156 12447234 18670851 24894468 37341702 56012553 74683404 112025106 224050212