Search a number
-
+
228245316 = 223132241467
BaseRepresentation
bin11011001101010…
…11111101000100
3120220111001201020
431212223331010
5431412322231
634352031140
75441024145
oct1546537504
9526431636
10228245316
111079250a2
12645324b0
1338396700
1422455acc
1515088396
hexd9abf44

228245316 has 72 divisors (see below), whose sum is σ = 580323744. Its totient is φ = 69788160.

The previous prime is 228245293. The next prime is 228245317. The reversal of 228245316 is 613542822.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228245317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488515 + ... + 488981.

It is an arithmetic number, because the mean of its divisors is an integer number (8060052).

Almost surely, 2228245316 is an apocalyptic number.

228245316 is a gapful number since it is divisible by the number (26) 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 228245316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290161872).

228245316 is an abundant number, since it is smaller than the sum of its proper divisors (352078428).

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

228245316 is a wasteful number, since it uses less digits than its factorization.

228245316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 726 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 228245316 is about 15107.7899111683. The cubic root of 228245316 is about 611.1304987593.

The spelling of 228245316 in words is "two hundred twenty-eight million, two hundred forty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 241 338 467 482 507 676 723 934 964 1014 1401 1446 1868 2028 2802 2892 3133 5604 6071 6266 9399 12142 12532 18213 18798 24284 36426 37596 40729 72852 78923 81458 112547 122187 157846 162916 225094 236769 244374 315692 337641 450188 473538 488748 675282 947076 1350564 1463111 2926222 4389333 5852444 8778666 17557332 19020443 38040886 57061329 76081772 114122658 228245316