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224140680 = 23325622613
BaseRepresentation
bin11010101110000…
…01110110001000
3120121202112012200
431113001312020
5424340000210
634124040200
75361110241
oct1527016610
9517675180
10224140680
11105581235
1263093060
133758a32a
1421aa7cc8
1514a270c0
hexd5c1d88

224140680 has 48 divisors (see below), whose sum is σ = 728458380. Its totient is φ = 59770752.

The previous prime is 224140673. The next prime is 224140687. The reversal of 224140680 is 86041422.

It is an interprime number because it is at equal distance from previous prime (224140673) and next prime (224140687).

It can be written as a sum of positive squares in 2 ways, for example, as 220879044 + 3261636 = 14862^2 + 1806^2 .

It is not an unprimeable number, because it can be changed into a prime (224140687) by changing a digit.

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, 310947 + ... + 311666.

Almost surely, 2224140680 is an apocalyptic number.

224140680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

224140680 is an abundant number, since it is smaller than the sum of its proper divisors (504317700).

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

224140680 is a wasteful number, since it uses less digits than its factorization.

224140680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622630 (or 622623 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 224140680 is about 14971.3285983576. The cubic root of 224140680 is about 607.4449068567. Note that the first 3 decimals are identical.

The spelling of 224140680 in words is "two hundred twenty-four million, one hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 622613 1245226 1867839 2490452 3113065 3735678 4980904 5603517 6226130 7471356 9339195 11207034 12452260 14942712 18678390 22414068 24904520 28017585 37356780 44828136 56035170 74713560 112070340 224140680