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228153816 = 2332112711063
BaseRepresentation
bin11011001100101…
…01100111011000
3120220022102012100
431212111213120
5431401410231
634350043400
75440163322
oct1546254730
9526272170
10228153816
11107872380
12644a9560
1338363b77
1422430612
151506b1e6
hexd9959d8

228153816 has 96 divisors (see below), whose sum is σ = 677214720. Its totient is φ = 68817600.

The previous prime is 228153811. The next prime is 228153823. The reversal of 228153816 is 618351822.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228153811) 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, 214101 + ... + 215163.

It is an arithmetic number, because the mean of its divisors is an integer number (7054320).

Almost surely, 2228153816 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 228153816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338607360).

228153816 is an abundant number, since it is smaller than the sum of its proper divisors (449060904).

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

228153816 is a wasteful number, since it uses less digits than its factorization.

228153816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1350 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 228153816 is about 15104.7613685222. The cubic root of 228153816 is about 611.0488236044.

The spelling of 228153816 in words is "two hundred twenty-eight million, one hundred fifty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 271 396 542 792 813 1063 1084 1626 2126 2168 2439 2981 3189 3252 4252 4878 5962 6378 6504 8504 8943 9567 9756 11693 11924 12756 17886 19134 19512 23386 23848 25512 26829 35079 35772 38268 46772 53658 70158 71544 76536 93544 105237 107316 140316 210474 214632 280632 288073 420948 576146 841896 864219 1152292 1728438 2304584 2592657 3168803 3456876 5185314 6337606 6913752 9506409 10370628 12675212 19012818 20741256 25350424 28519227 38025636 57038454 76051272 114076908 228153816