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224056140 = 223571148497
BaseRepresentation
bin11010101101011…
…01001101001100
3120121121020020120
431112231031030
5424324244030
634122144540
75360305620
oct1526551514
9517536216
10224056140
11105523770
1263052150
133755a9c9
1421a85180
1514a0c010
hexd5ad34c

224056140 has 96 divisors (see below), whose sum is σ = 782175744. Its totient is φ = 46556160.

The previous prime is 224056121. The next prime is 224056153. The reversal of 224056140 is 41650422.

224056140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 224056140.

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, 19629 + ... + 28868.

It is an arithmetic number, because the mean of its divisors is an integer number (8147664).

Almost surely, 2224056140 is an apocalyptic number.

224056140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224056140 is an abundant number, since it is smaller than the sum of its proper divisors (558119604).

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

224056140 is a wasteful number, since it uses less digits than its factorization.

224056140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48527 (or 48525 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 224056140 is about 14968.5049353635. The cubic root of 224056140 is about 607.3685264779.

The spelling of 224056140 in words is "two hundred twenty-four million, fifty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 48497 96994 145491 193988 242485 290982 339479 484970 533467 581964 678958 727455 969940 1018437 1066934 1357916 1454910 1600401 1697395 2036874 2133868 2667335 2909820 3200802 3394790 3734269 4073748 5092185 5334670 6401604 6789580 7468538 8002005 10184370 10669340 11202807 14937076 16004010 18671345 20368740 22405614 32008020 37342690 44811228 56014035 74685380 112028070 224056140