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224225344 = 2672347463
BaseRepresentation
bin11010101110101…
…10100001000000
3120121220211100101
431113112201000
5424400202334
634125532144
75361612130
oct1527264100
9517824311
10224225344
11105629902
1263114054
13375b9a25
1421acaac0
1514a42214
hexd5d6840

224225344 has 112 divisors (see below), whose sum is σ = 543080448. Its totient is φ = 89768448.

The previous prime is 224225333. The next prime is 224225347. The reversal of 224225344 is 443522422.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (224225347) 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, 484057 + ... + 484519.

Almost surely, 2224225344 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 224225344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271540224).

224225344 is an abundant number, since it is smaller than the sum of its proper divisors (318855104).

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

224225344 is a wasteful number, since it uses less digits than its factorization.

224225344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

The product of its digits is 15360, while the sum is 28.

The square root of 224225344 is about 14974.1558693637. The cubic root of 224225344 is about 607.5213800217.

Adding to 224225344 its reverse (443522422), we get a palindrome (667747766).

The spelling of 224225344 in words is "two hundred twenty-four million, two hundred twenty-five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 47 56 64 92 94 112 161 184 188 224 322 329 368 376 448 463 644 658 736 752 926 1081 1288 1316 1472 1504 1852 2162 2576 2632 3008 3241 3704 4324 5152 5264 6482 7408 7567 8648 10304 10528 10649 12964 14816 15134 17296 21056 21298 21761 25928 29632 30268 34592 42596 43522 51856 60536 69184 74543 85192 87044 103712 121072 149086 152327 170384 174088 207424 242144 298172 304654 340768 348176 484288 500503 596344 609308 681536 696352 1001006 1192688 1218616 1392704 2002012 2385376 2437232 3503521 4004024 4770752 4874464 7007042 8008048 9748928 14014084 16016096 28028168 32032192 56056336 112112672 224225344