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770229009 = 32112294
BaseRepresentation
bin101101111010001…
…100001100010001
31222200022200120100
4231322030030101
53034134312014
6204232403013
725041560424
oct5572141421
91880280510
10770229009
11365857500
12195b46469
13c375b214
14744199bb
1547946009
hex2de8c311

770229009 has 45 divisors (see below), whose sum is σ = 1266563389. Its totient is φ = 450708720.

The previous prime is 770228999. The next prime is 770229023. The reversal of 770229009 is 900922077.

The square root of 770229009 is 27753.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1830609 + 768398400 = 1353^2 + 27720^2 .

It is not a de Polignac number, because 770229009 - 27 = 770228881 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (770225009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26559607 + ... + 26559635.

Almost surely, 2770229009 is an apocalyptic number.

770229009 is the 27753-rd square number.

770229009 is the 13877-th centered octagonal number.

It is an amenable number.

770229009 is a deficient number, since it is larger than the sum of its proper divisors (496334380).

770229009 is an frugal number, since it uses more digits than its factorization.

770229009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The cubic root of 770229009 is about 916.6565029984.

Multiplying 770229009 by its sum of digits (36), we get a square (27728244324 = 1665182).

Multiplying 770229009 by its product of nonzero digits (15876), we get a square (12228155746884 = 34968782).

The spelling of 770229009 in words is "seven hundred seventy million, two hundred twenty-nine thousand, nine".

Divisors: 1 3 9 11 29 33 87 99 121 261 319 363 841 957 1089 2523 2871 3509 7569 9251 10527 24389 27753 31581 73167 83259 101761 219501 268279 305283 707281 804837 915849 2121843 2414511 2951069 6365529 7780091 8853207 23340273 26559621 70020819 85581001 256743003 770229009