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229109904 = 243319103271
BaseRepresentation
bin11011010011111…
…11000010010000
3120222002222201000
431221333002100
5432123004104
634422342000
75451254622
oct1551770220
9528088630
10229109904
11108365731
126488a900
133860a0ba
14225dcc12
15151a9639
hexda7f090

229109904 has 160 divisors (see below), whose sum is σ = 701542400. Its totient is φ = 71383680.

The previous prime is 229109899. The next prime is 229109911. The reversal of 229109904 is 409901922.

229109904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2291099042 = 104982696221778432, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845289 + ... + 845559.

It is an arithmetic number, because the mean of its divisors is an integer number (4384640).

Almost surely, 2229109904 is an apocalyptic number.

229109904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229109904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350771200).

229109904 is an abundant number, since it is smaller than the sum of its proper divisors (472432496).

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

229109904 is a wasteful number, since it uses less digits than its factorization.

229109904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 229109904 is about 15136.3768452031. The cubic root of 229109904 is about 611.9011758923.

The spelling of 229109904 in words is "two hundred twenty-nine million, one hundred nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 103 108 114 144 152 171 206 216 228 271 304 309 342 412 432 456 513 542 618 684 813 824 912 927 1026 1084 1236 1368 1626 1648 1854 1957 2052 2168 2439 2472 2736 2781 3252 3708 3914 4104 4336 4878 4944 5149 5562 5871 6504 7317 7416 7828 8208 9756 10298 11124 11742 13008 14634 14832 15447 15656 17613 19512 20596 22248 23484 27913 29268 30894 31312 35226 39024 41192 44496 46341 46968 52839 55826 58536 61788 70452 82384 83739 92682 93936 105678 111652 117072 123576 139023 140904 167478 185364 211356 223304 247152 251217 278046 281808 334956 370728 422712 446608 502434 530347 556092 669912 741456 753651 845424 1004868 1060694 1112184 1339824 1507302 1591041 2009736 2121388 2224368 3014604 3182082 4019472 4242776 4773123 6029208 6364164 8485552 9546246 12058416 12728328 14319369 19092492 25456656 28638738 38184984 57277476 76369968 114554952 229109904