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224265330 = 23252491837
BaseRepresentation
bin11010101111000…
…00010001110010
3120121222212012100
431113200101302
5424402442310
634130441230
75362136532
oct1527402162
9517885170
10224265330
11105656953
1263133216
1337601ca3
1421adb4c2
1514a4dec0
hexd5e0472

224265330 has 24 divisors (see below), whose sum is σ = 583090092. Its totient is φ = 59804064.

The previous prime is 224265329. The next prime is 224265347. The reversal of 224265330 is 33562422.

224265330 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 653 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207100881 + 17164449 = 14391^2 + 4143^2 .

It is a junction number, because it is equal to n+sod(n) for n = 224265294 and 224265303.

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 11 ways as a sum of consecutive naturals, for example, 1245829 + ... + 1246008.

Almost surely, 2224265330 is an apocalyptic number.

224265330 is an abundant number, since it is smaller than the sum of its proper divisors (358824762).

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

224265330 is a wasteful number, since it uses less digits than its factorization.

224265330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491850 (or 2491847 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 224265330 is about 14975.4909769263. The cubic root of 224265330 is about 607.5574908758.

The spelling of 224265330 in words is "two hundred twenty-four million, two hundred sixty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2491837 4983674 7475511 12459185 14951022 22426533 24918370 37377555 44853066 74755110 112132665 224265330