Search a number
-
+
229012472 = 231319235039
BaseRepresentation
bin11011010011001…
…11001111111000
3120221221001001102
431221213033320
5432111344342
634420310532
75450400563
oct1551471770
9527831042
10229012472
111082a9507
1264842448
13385a4950
14225b54da
151518a832
hexda673f8

229012472 has 64 divisors (see below), whose sum is σ = 508032000. Its totient is φ = 95762304.

The previous prime is 229012463. The next prime is 229012477. The reversal of 229012472 is 274210922.

229012472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229012477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42929 + ... + 47967.

It is an arithmetic number, because the mean of its divisors is an integer number (7938000).

Almost surely, 2229012472 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 229012472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016000).

229012472 is an abundant number, since it is smaller than the sum of its proper divisors (279019528).

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

229012472 is a wasteful number, since it uses less digits than its factorization.

229012472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 229012472 is about 15133.1580312901. The cubic root of 229012472 is about 611.8144239193.

The spelling of 229012472 in words is "two hundred twenty-nine million, twelve thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 19 23 26 38 46 52 76 92 104 152 184 247 299 437 494 598 874 988 1196 1748 1976 2392 3496 5039 5681 10078 11362 20156 22724 40312 45448 65507 95741 115897 131014 191482 231794 262028 382964 463588 524056 765928 927176 1244633 1506661 2202043 2489266 3013322 4404086 4978532 6026644 8808172 9957064 12053288 17616344 28626559 57253118 114506236 229012472