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816214016 = 212892239
BaseRepresentation
bin110000101001100…
…111000000000000
32002212211222010202
4300221213000000
53132422322031
6212554144332
726140463462
oct6051470000
92085758122
10816214016
11389805742
121a94220a8
1310013bc97
147a58a132
154b9cb2cb
hex30a67000

816214016 has 52 divisors (see below), whose sum is σ = 1651305600. Its totient is φ = 403341312.

The previous prime is 816213997. The next prime is 816214031. The reversal of 816214016 is 610412618.

It is a self number, because there is not a number n which added to its sum of digits gives 816214016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 363425 + ... + 365663.

Almost surely, 2816214016 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 816214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825652800).

816214016 is an abundant number, since it is smaller than the sum of its proper divisors (835091584).

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

816214016 is an equidigital number, since it uses as much as digits as its factorization.

816214016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 816214016 is about 28569.4594978624. The cubic root of 816214016 is about 934.5474340450.

The spelling of 816214016 in words is "eight hundred sixteen million, two hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1024 1424 2048 2239 2848 4096 4478 5696 8956 11392 17912 22784 35824 45568 71648 91136 143296 182272 199271 286592 364544 398542 573184 797084 1146368 1594168 2292736 3188336 4585472 6376672 9170944 12753344 25506688 51013376 102026752 204053504 408107008 816214016