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224260056 = 233317157389
BaseRepresentation
bin11010101110111…
…10111111011000
3120121222120222000
431113132333120
5424402310211
634130401000
75362115256
oct1527367730
9517876860
10224260056
11105652999
1263130160
13375cc777
1421ad95d6
1514a4c656
hexd5defd8

224260056 has 128 divisors (see below), whose sum is σ = 665496000. Its totient is φ = 69728256.

The previous prime is 224260033. The next prime is 224260067. The reversal of 224260056 is 650062422.

224260056 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 600 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576310 + ... + 576698.

Almost surely, 2224260056 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 224260056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332748000).

224260056 is an abundant number, since it is smaller than the sum of its proper divisors (441235944).

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

224260056 is a wasteful number, since it uses less digits than its factorization.

224260056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 224260056 is about 14975.3148881751. The cubic root of 224260056 is about 607.5527282384.

The spelling of 224260056 in words is "two hundred twenty-four million, two hundred sixty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 157 204 216 306 314 389 408 459 471 612 628 778 918 942 1167 1224 1256 1413 1556 1836 1884 2334 2669 2826 3112 3501 3672 3768 4239 4668 5338 5652 6613 7002 8007 8478 9336 10503 10676 11304 13226 14004 16014 16956 19839 21006 21352 24021 26452 28008 32028 33912 39678 42012 48042 52904 59517 61073 64056 72063 79356 84024 96084 119034 122146 144126 158712 178551 183219 192168 238068 244292 288252 357102 366438 476136 488584 549657 576504 714204 732876 1038241 1099314 1428408 1465752 1648971 2076482 2198628 3114723 3297942 4152964 4397256 6229446 6595884 8305928 9344169 12458892 13191768 18688338 24917784 28032507 37376676 56065014 74753352 112130028 224260056