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93240224 = 2571179479
BaseRepresentation
bin1011000111010…
…11101110100000
320111110002112122
411203223232200
5142332141344
613130243412
72211346250
oct543535640
9214402478
1093240224
11486a4840
1227286568
1316417a3c
14c551960
1582bbaee
hex58ebba0

93240224 has 96 divisors (see below), whose sum is σ = 232243200. Its totient is φ = 35792640.

The previous prime is 93240209. The next prime is 93240263. The reversal of 93240224 is 42204239.

It is a junction number, because it is equal to n+sod(n) for n = 93240193 and 93240202.

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, 194417 + ... + 194895.

It is an arithmetic number, because the mean of its divisors is an integer number (2419200).

Almost surely, 293240224 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 93240224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116121600).

93240224 is an abundant number, since it is smaller than the sum of its proper divisors (139002976).

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

93240224 is a wasteful number, since it uses less digits than its factorization.

93240224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 93240224 is about 9656.0977625540. The cubic root of 93240224 is about 453.4552517146.

The spelling of 93240224 in words is "ninety-three million, two hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 79 88 112 154 158 176 224 308 316 352 479 553 616 632 869 958 1106 1232 1264 1738 1916 2212 2464 2528 3353 3476 3832 4424 5269 6083 6706 6952 7664 8848 10538 12166 13412 13904 15328 17696 21076 24332 26824 27808 36883 37841 42152 48664 53648 73766 75682 84304 97328 107296 147532 151364 168608 194656 264887 295064 302728 416251 529774 590128 605456 832502 1059548 1180256 1210912 1665004 2119096 2913757 3330008 4238192 5827514 6660016 8476384 11655028 13320032 23310056 46620112 93240224