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224244420 = 223537831217
BaseRepresentation
bin11010101110110…
…11001011000100
3120121221210111220
431113123023010
5424401310140
634130200340
75362021551
oct1527331304
9517853456
10224244420
11105642174
12631230b0
13375c560a
1421ad3a28
1514a47bd0
hexd5db2c4

224244420 has 96 divisors (see below), whose sum is σ = 653159808. Its totient is φ = 57434112.

The previous prime is 224244409. The next prime is 224244437. The reversal of 224244420 is 24442422.

It is a super-2 number, since 2×2242444202 = 100571119802272800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183652 + ... + 184868.

It is an arithmetic number, because the mean of its divisors is an integer number (6803748).

Almost surely, 2224244420 is an apocalyptic number.

224244420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326579904).

224244420 is an abundant number, since it is smaller than the sum of its proper divisors (428915388).

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

224244420 is a wasteful number, since it uses less digits than its factorization.

224244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 224244420 is about 14974.7928199358. The cubic root of 224244420 is about 607.5386078530.

Adding to 224244420 its reverse (24442422), we get a palindrome (248686842).

The spelling of 224244420 in words is "two hundred twenty-four million, two hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 83 111 148 166 185 222 249 332 370 415 444 498 555 740 830 996 1110 1217 1245 1660 2220 2434 2490 3071 3651 4868 4980 6085 6142 7302 9213 12170 12284 14604 15355 18255 18426 24340 30710 36510 36852 45029 46065 61420 73020 90058 92130 101011 135087 180116 184260 202022 225145 270174 303033 404044 450290 505055 540348 606066 675435 900580 1010110 1212132 1350870 1515165 2020220 2701740 3030330 3737407 6060660 7474814 11212221 14949628 18687035 22424442 37374070 44848884 56061105 74748140 112122210 224244420