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224111040 = 2635474967
BaseRepresentation
bin11010101101110…
…10100111000000
3120121201000112220
431112322213000
5424333023130
634123251040
75360624646
oct1526724700
9517630486
10224111040
11105560a3a
1263079a80
13375799aa
1421a9b196
1514a1d410
hexd5ba9c0

224111040 has 112 divisors (see below), whose sum is σ = 726838272. Its totient is φ = 58479616.

The previous prime is 224111033. The next prime is 224111053. The reversal of 224111040 is 40111422.

224111040 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42637 + ... + 47603.

Almost surely, 2224111040 is an apocalyptic number.

224111040 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 224111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363419136).

224111040 is an abundant number, since it is smaller than the sum of its proper divisors (502727232).

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

224111040 is a wasteful number, since it uses less digits than its factorization.

224111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5024 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 224111040 is about 14970.3386735237. The cubic root of 224111040 is about 607.4181298333.

Adding to 224111040 its reverse (40111422), we get a palindrome (264222462).

The spelling of 224111040 in words is "two hundred twenty-four million, one hundred eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 4967 5640 7520 9024 9934 11280 14901 15040 19868 22560 24835 29802 39736 45120 49670 59604 74505 79472 99340 119208 149010 158944 198680 233449 238416 298020 317888 397360 466898 476832 596040 700347 794720 933796 953664 1167245 1192080 1400694 1589440 1867592 2334490 2384160 2801388 3501735 3735184 4668980 4768320 5602776 7003470 7470368 9337960 11205552 14006940 14940736 18675920 22411104 28013880 37351840 44822208 56027760 74703680 112055520 224111040