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224171420 = 22511891072
BaseRepresentation
bin11010101110010…
…01010110011100
3120121211002101012
431113021112130
5424341441140
634124434352
75361265664
oct1527112634
9517732335
10224171420
111055a2340
12630a89b8
133759b315
1421ab51a4
1514a31265
hexd5c959c

224171420 has 72 divisors (see below), whose sum is σ = 524225520. Its totient is φ = 79847680.

The previous prime is 224171417. The next prime is 224171449. The reversal of 224171420 is 24171422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2095007 + ... + 2095113.

It is an arithmetic number, because the mean of its divisors is an integer number (7280910).

Almost surely, 2224171420 is an apocalyptic number.

224171420 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 224171420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262112760).

224171420 is an abundant number, since it is smaller than the sum of its proper divisors (300054100).

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

224171420 is a wasteful number, since it uses less digits than its factorization.

224171420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 224171420 is about 14972.3551921533. The cubic root of 224171420 is about 607.4726751358.

The spelling of 224171420 in words is "two hundred twenty-four million, one hundred seventy-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 107 110 178 214 220 356 428 445 535 890 979 1070 1177 1780 1958 2140 2354 3916 4708 4895 5885 9523 9790 11449 11770 19046 19580 22898 23540 38092 45796 47615 57245 95230 104753 114490 125939 190460 209506 228980 251878 419012 503756 523765 629695 1018961 1047530 1259390 2037922 2095060 2518780 4075844 5094805 10189610 11208571 20379220 22417142 44834284 56042855 112085710 224171420