Search a number
-
+
229245336 = 23331983673
BaseRepresentation
bin11011010101000…
…00000110011000
3120222100212111000
431222200012120
5432141322321
634425305000
75452360515
oct1552400630
9528325430
10229245336
11108448461
1264935160
1338656938
142263630c
15151d4826
hexdaa0198

229245336 has 128 divisors (see below), whose sum is σ = 679392000. Its totient is φ = 71414784.

The previous prime is 229245329. The next prime is 229245371. The reversal of 229245336 is 633542922.

It is a happy number.

229245336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 229245336.

It is a congruent 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, 340296 + ... + 340968.

It is an arithmetic number, because the mean of its divisors is an integer number (5307750).

Almost surely, 2229245336 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 229245336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339696000).

229245336 is an abundant number, since it is smaller than the sum of its proper divisors (450146664).

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

229245336 is a wasteful number, since it uses less digits than its factorization.

229245336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 780 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 229245336 is about 15140.8499100942. The cubic root of 229245336 is about 612.0217216435.

The spelling of 229245336 in words is "two hundred twenty-nine million, two hundred forty-five thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 83 108 114 152 166 171 216 228 249 332 342 456 498 513 664 673 684 747 996 1026 1346 1368 1494 1577 1992 2019 2052 2241 2692 2988 3154 4038 4104 4482 4731 5384 5976 6057 6308 8076 8964 9462 12114 12616 12787 14193 16152 17928 18171 18924 24228 25574 28386 36342 37848 38361 42579 48456 51148 55859 56772 72684 76722 85158 102296 111718 113544 115083 145368 153444 167577 170316 223436 230166 306888 335154 340632 345249 446872 460332 502731 670308 690498 920664 1005462 1061321 1340616 1380996 1508193 2010924 2122642 2761992 3016386 3183963 4021848 4245284 6032772 6367926 8490568 9551889 12065544 12735852 19103778 25471704 28655667 38207556 57311334 76415112 114622668 229245336