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216365056 = 211293643
BaseRepresentation
bin11001110010101…
…11100000000000
3120002010111001121
430321113200000
5420342140211
633245242024
75235033625
oct1471274000
9502114047
10216365056
111011502a6
1260563314
1335a9707b
1420a4234c
1513edd271
hexce57800

216365056 has 48 divisors (see below), whose sum is σ = 447665400. Its totient is φ = 104423424.

The previous prime is 216365003. The next prime is 216365087. The reversal of 216365056 is 650563612.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

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 in 3 ways as a sum of consecutive naturals, for example, 57571 + ... + 61213.

Almost surely, 2216365056 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 216365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223832700).

216365056 is an abundant number, since it is smaller than the sum of its proper divisors (231300344).

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

216365056 is an equidigital number, since it uses as much as digits as its factorization.

216365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 216365056 is about 14709.3526710049. The cubic root of 216365056 is about 600.3378245700.

The spelling of 216365056 in words is "two hundred sixteen million, three hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3643 3712 7286 7424 14572 14848 29144 29696 58288 59392 105647 116576 211294 233152 422588 466304 845176 932608 1690352 1865216 3380704 3730432 6761408 7460864 13522816 27045632 54091264 108182528 216365056