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8220263364 = 2232228340649
BaseRepresentation
bin1111010011111011…
…10100001111000100
3210012212212122102200
413221331310033010
5113313341411424
63435404434500
7410464041255
oct75175641704
923185778380
108220263364
113539140595
121714b48a30
13a10073681
1457da42b2c
15331a088c9
hex1e9f743c4

8220263364 has 18 divisors (see below), whose sum is σ = 20778999150. Its totient is φ = 2740087776.

The previous prime is 8220263339. The next prime is 8220263369. The reversal of 8220263364 is 4633620228.

It can be written as a sum of positive squares in only one way, i.e., 6592140864 + 1628122500 = 81192^2 + 40350^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 228340649 = 8220263364 / (8 + 2 + 2 + 0 + 2 + 6 + 3 + 3 + 6 + 4).

It is not an unprimeable number, because it can be changed into a prime (8220263369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114170289 + ... + 114170360.

Almost surely, 28220263364 is an apocalyptic number.

It is an amenable number.

8220263364 is an abundant number, since it is smaller than the sum of its proper divisors (12558735786).

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

8220263364 is a wasteful number, since it uses less digits than its factorization.

8220263364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228340659 (or 228340654 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 8220263364 is about 90665.6680557751. The cubic root of 8220263364 is about 2018.1893525606.

The spelling of 8220263364 in words is "eight billion, two hundred twenty million, two hundred sixty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 228340649 456681298 685021947 913362596 1370043894 2055065841 2740087788 4110131682 8220263364