Search a number
-
+
229757760 = 2632579777
BaseRepresentation
bin11011011000111…
…01001101000000
3121000022220101200
431230131031000
5432304222020
634444301200
75456623461
oct1554351500
9530286350
10229757760
11108768451
1264b41800
13387a5c4b
142272ad68
1515286590
hexdb1d340

229757760 has 84 divisors (see below), whose sum is σ = 790280868. Its totient is φ = 61267968.

The previous prime is 229757713. The next prime is 229757767. The reversal of 229757760 is 67757922.

It can be written as a sum of positive squares in 2 ways, for example, as 152176896 + 77580864 = 12336^2 + 8808^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229757767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37009 + ... + 42768.

Almost surely, 2229757760 is an apocalyptic number.

229757760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

229757760 is an abundant number, since it is smaller than the sum of its proper divisors (560523108).

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

229757760 is a wasteful number, since it uses less digits than its factorization.

229757760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79800 (or 79787 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 229757760 is about 15157.7623678431. The cubic root of 229757760 is about 612.4773924739.

The spelling of 229757760 in words is "two hundred twenty-nine million, seven hundred fifty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 79777 159554 239331 319108 398885 478662 638216 717993 797770 957324 1196655 1276432 1435986 1595540 1914648 2393310 2552864 2871972 3191080 3589965 3829296 4786620 5105728 5743944 6382160 7179930 7658592 9573240 11487888 12764320 14359860 15317184 19146480 22975776 25528640 28719720 38292960 45951552 57439440 76585920 114878880 229757760