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219400768 = 263428137
BaseRepresentation
bin11010001001111…
…00101001000000
3120021211201021101
431010330221000
5422131311033
633434304144
75302606246
oct1504745100
9507751241
10219400768
11102934054
1261588054
13365baa52
14211d2796
15143dc97d
hexd13ca40

219400768 has 14 divisors (see below), whose sum is σ = 435373526. Its totient is φ = 109700352.

The previous prime is 219400751. The next prime is 219400801. The reversal of 219400768 is 867004912.

It can be written as a sum of positive squares in only one way, i.e., 219276864 + 123904 = 14808^2 + 352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1714005 + ... + 1714132.

It is an arithmetic number, because the mean of its divisors is an integer number (31098109).

Almost surely, 2219400768 is an apocalyptic number.

It is an amenable number.

219400768 is a deficient number, since it is larger than the sum of its proper divisors (215972758).

219400768 is an equidigital number, since it uses as much as digits as its factorization.

219400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428149 (or 3428139 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 219400768 is about 14812.1830936564. The cubic root of 219400768 is about 603.1324767810.

The spelling of 219400768 in words is "two hundred nineteen million, four hundred thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 3428137 6856274 13712548 27425096 54850192 109700384 219400768