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229326336 = 293353313
BaseRepresentation
bin11011010101100…
…11111000000000
3120222111222121000
431222303320000
5432201420321
634431132000
75453145621
oct1552637000
9528458530
10229326336
111084a32a8
1264974000
1338684775
1422657a48
15151ed826
hexdab3e00

229326336 has 160 divisors (see below), whose sum is σ = 693839520. Its totient is φ = 74760192.

The previous prime is 229326323. The next prime is 229326343. The reversal of 229326336 is 633623922.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 229326336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 732516 + ... + 732828.

It is an arithmetic number, because the mean of its divisors is an integer number (4336497).

Almost surely, 2229326336 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 229326336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346919760).

229326336 is an abundant number, since it is smaller than the sum of its proper divisors (464513184).

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

229326336 is an equidigital number, since it uses as much as digits as its factorization.

229326336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 229326336 is about 15143.5245567206. The cubic root of 229326336 is about 612.0937956971.

The spelling of 229326336 in words is "two hundred twenty-nine million, three hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 288 313 318 384 424 432 477 512 576 626 636 768 848 864 939 954 1152 1252 1272 1431 1536 1696 1728 1878 1908 2304 2504 2544 2817 2862 3392 3456 3756 3816 4608 5008 5088 5634 5724 6784 6912 7512 7632 8451 10016 10176 11268 11448 13568 13824 15024 15264 16589 16902 20032 20352 22536 22896 27136 30048 30528 33178 33804 40064 40704 45072 45792 49767 60096 61056 66356 67608 80128 81408 90144 91584 99534 120192 122112 132712 135216 149301 160256 180288 183168 199068 240384 244224 265424 270432 298602 360576 366336 398136 447903 480768 530848 540864 597204 721152 732672 796272 895806 1061696 1081728 1194408 1442304 1592544 1791612 2123392 2163456 2388816 3185088 3583224 4246784 4326912 4777632 6370176 7166448 8493568 9555264 12740352 14332896 19110528 25480704 28665792 38221056 57331584 76442112 114663168 229326336