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814669890 = 235235322277
BaseRepresentation
bin110000100011101…
…110000001000010
32002202221111222220
4300203232001002
53132023414030
6212501111510
726121402606
oct6043560102
92082844886
10814669890
11388950601
121a89b8596
13cca1b1b8
147a2a7506
154b7c3a10
hex308ee042

814669890 has 64 divisors (see below), whose sum is σ = 2078804736. Its totient is φ = 203869952.

The previous prime is 814669829. The next prime is 814669901. The reversal of 814669890 is 98966418.

It is a happy number.

It is a super-2 number, since 2×8146698902 = 1327374059345224200, which contains 22 as substring.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 25432 + ... + 47708.

It is an arithmetic number, because the mean of its divisors is an integer number (32481324).

Almost surely, 2814669890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 814669890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039402368).

814669890 is an abundant number, since it is smaller than the sum of its proper divisors (1264134846).

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

814669890 is a wasteful number, since it uses less digits than its factorization.

814669890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22363.

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 814669890 is about 28542.4226371904. The cubic root of 814669890 is about 933.9577317036.

The spelling of 814669890 in words is "eight hundred fourteen million, six hundred sixty-nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 53 69 106 115 138 159 230 265 318 345 530 690 795 1219 1590 2438 3657 6095 7314 12190 18285 22277 36570 44554 66831 111385 133662 222770 334155 512371 668310 1024742 1180681 1537113 2361362 2561855 3074226 3542043 5123710 5903405 7084086 7685565 11806810 15371130 17710215 27155663 35420430 54311326 81466989 135778315 162933978 271556630 407334945 814669890