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224101312 = 2661137419
BaseRepresentation
bin11010101101110…
…00001111000000
3120121200112012121
431112320033000
5424332220222
634123134024
75360554411
oct1526701700
9517615177
10224101312
111055546a6
1263074314
1337575436
1421a97808
1514a1a5c7
hexd5b83c0

224101312 has 56 divisors (see below), whose sum is σ = 456377040. Its totient is φ = 109148160.

The previous prime is 224101303. The next prime is 224101369. The reversal of 224101312 is 213101422.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 534639 + ... + 535057.

It is an arithmetic number, because the mean of its divisors is an integer number (8149590).

Almost surely, 2224101312 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 224101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228188520).

224101312 is an abundant number, since it is smaller than the sum of its proper divisors (232275728).

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

224101312 is a wasteful number, since it uses less digits than its factorization.

224101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 224101312 is about 14970.0137608487. The cubic root of 224101312 is about 607.4093409623.

Adding to 224101312 its reverse (213101422), we get a palindrome (437202734).

The spelling of 224101312 in words is "two hundred twenty-four million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 61 64 122 137 244 274 419 488 548 838 976 1096 1676 1952 2192 3352 3904 4384 6704 8357 8768 13408 16714 25559 26816 33428 51118 57403 66856 102236 114806 133712 204472 229612 267424 408944 459224 534848 817888 918448 1635776 1836896 3501583 3673792 7003166 14006332 28012664 56025328 112050656 224101312