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812022016 = 281321372
BaseRepresentation
bin110000011001100…
…111100100000000
32002120221222210111
4300121213210000
53130334201031
6212324241104
726060034061
oct6031474400
92076858714
10812022016
11387402183
121a7b40194
13cc301c00
1479bb8568
154b44e1b1
hex30667900

812022016 has 81 divisors (see below), whose sum is σ = 1768050291. Its totient is φ = 372043776.

The previous prime is 812021989. The next prime is 812022041. The reversal of 812022016 is 610220218.

The square root of 812022016 is 28496.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 72182016 + 739840000 = 8496^2 + 27200^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 5927100 + ... + 5927236.

Almost surely, 2812022016 is an apocalyptic number.

812022016 is the 28496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812022016

812022016 is an abundant number, since it is smaller than the sum of its proper divisors (956028275).

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

812022016 is an equidigital number, since it uses as much as digits as its factorization.

812022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The cubic root of 812022016 is about 932.9447706835.

The spelling of 812022016 in words is "eight hundred twelve million, twenty-two thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 137 169 208 256 274 338 416 548 676 832 1096 1352 1664 1781 2192 2704 3328 3562 4384 5408 7124 8768 10816 14248 17536 18769 21632 23153 28496 35072 37538 43264 46306 56992 75076 92612 113984 150152 185224 227968 243997 300304 370448 455936 487994 600608 740896 975988 1201216 1481792 1951976 2402432 2963584 3171961 3903952 4804864 5927168 6343922 7807904 12687844 15615808 25375688 31231616 50751376 62463232 101502752 203005504 406011008 812022016