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229855536 = 24331573389
BaseRepresentation
bin11011011001101…
…01000100110000
3121000111212112000
431230311010300
5432320334121
634450334000
75460511521
oct1554650460
9530455460
10229855536
11108824959
1264b8a300
133880b5c1
1422754848
15152a5526
hexdb35130

229855536 has 80 divisors (see below), whose sum is σ = 664168800. Its totient is φ = 76108032.

The previous prime is 229855531. The next prime is 229855567. The reversal of 229855536 is 635558922.

229855536 is a `hidden beast` number, since 2 + 2 + 98 + 5 + 553 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 229855491 and 229855500.

It is not an unprimeable number, because it can be changed into a prime (229855531) 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 15 ways as a sum of consecutive naturals, for example, 66130 + ... + 69518.

It is an arithmetic number, because the mean of its divisors is an integer number (8302110).

Almost surely, 2229855536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229855536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332084400).

229855536 is an abundant number, since it is smaller than the sum of its proper divisors (434313264).

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

229855536 is a wasteful number, since it uses less digits than its factorization.

229855536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3551 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 229855536 is about 15160.9873029430. The cubic root of 229855536 is about 612.5642623676.

The spelling of 229855536 in words is "two hundred twenty-nine million, eight hundred fifty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 157 216 314 432 471 628 942 1256 1413 1884 2512 2826 3389 3768 4239 5652 6778 7536 8478 10167 11304 13556 16956 20334 22608 27112 30501 33912 40668 54224 61002 67824 81336 91503 122004 162672 183006 244008 366012 488016 532073 732024 1064146 1464048 1596219 2128292 3192438 4256584 4788657 6384876 8513168 9577314 12769752 14365971 19154628 25539504 28731942 38309256 57463884 76618512 114927768 229855536