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219295968 = 25310612153
BaseRepresentation
bin11010001001000…
…11000011100000
3120021122101111220
431010203003200
5422114432333
633432135040
75301661563
oct1504430340
9507571456
10219295968
11102872341
1261537480
1336582138
14211a64da
15143bb8b3
hexd1230e0

219295968 has 48 divisors (see below), whose sum is σ = 576462096. Its totient is φ = 72995840.

The previous prime is 219295957. The next prime is 219295981. The reversal of 219295968 is 869592912.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 219295968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100780 + ... + 102932.

It is an arithmetic number, because the mean of its divisors is an integer number (12009627).

Almost surely, 2219295968 is an apocalyptic number.

It is an amenable number.

219295968 is an abundant number, since it is smaller than the sum of its proper divisors (357166128).

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

219295968 is a wasteful number, since it uses less digits than its factorization.

219295968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3219 counting only the distinct ones).

The product of its digits is 699840, while the sum is 51.

The square root of 219295968 is about 14808.6450426769. The cubic root of 219295968 is about 603.0364297906.

The spelling of 219295968 in words is "two hundred nineteen million, two hundred ninety-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1061 2122 2153 3183 4244 4306 6366 6459 8488 8612 12732 12918 16976 17224 25464 25836 33952 34448 50928 51672 68896 101856 103344 206688 2284333 4568666 6852999 9137332 13705998 18274664 27411996 36549328 54823992 73098656 109647984 219295968