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248605224 = 233721791181
BaseRepresentation
bin11101101000101…
…10101000101000
3122022210110020220
432310112220220
51002120331344
640400250040
76106052400
oct1664265050
9568713226
10248605224
1111837086a
126b310920
133c6748aa
1425035800
1516c5ac19
hexed16a28

248605224 has 96 divisors (see below), whose sum is σ = 727639200. Its totient is φ = 70573440.

The previous prime is 248605219. The next prime is 248605241. The reversal of 248605224 is 422506842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209914 + ... + 211094.

It is an arithmetic number, because the mean of its divisors is an integer number (7579575).

Almost surely, 2248605224 is an apocalyptic number.

248605224 is a gapful number since it is divisible by the number (24) 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 248605224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363819600).

248605224 is an abundant number, since it is smaller than the sum of its proper divisors (479033976).

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

248605224 is a wasteful number, since it uses less digits than its factorization.

248605224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 248605224 is about 15767.2199198210. The cubic root of 248605224 is about 628.7868010295.

The spelling of 248605224 in words is "two hundred forty-eight million, six hundred five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 179 196 294 358 392 537 588 716 1074 1176 1181 1253 1432 2148 2362 2506 3543 3759 4296 4724 5012 7086 7518 8267 8771 9448 10024 14172 15036 16534 17542 24801 26313 28344 30072 33068 35084 49602 52626 57869 66136 70168 99204 105252 115738 173607 198408 210504 211399 231476 347214 422798 462952 634197 694428 845596 1268394 1388856 1479793 1691192 2536788 2959586 4439379 5073576 5919172 8878758 10358551 11838344 17757516 20717102 31075653 35515032 41434204 62151306 82868408 124302612 248605224