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229345344 = 263514747
BaseRepresentation
bin11011010101110…
…00100001000000
3120222112221200000
431222320201000
5432203022334
634431400000
75453255214
oct1552704100
9528487600
10229345344
11108506608
1264983000
1338690307
1422660944
1515204299
hexdab8840

229345344 has 84 divisors (see below), whose sum is σ = 681770544. Its totient is φ = 76443264.

The previous prime is 229345343. The next prime is 229345357. The reversal of 229345344 is 443543922.

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

It is a junction number, because it is equal to n+sod(n) for n = 229345299 and 229345308.

It is not an unprimeable number, because it can be changed into a prime (229345343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8179 + ... + 22925.

It is an arithmetic number, because the mean of its divisors is an integer number (8116316).

Almost surely, 2229345344 is an apocalyptic number.

229345344 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 229345344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340885272).

229345344 is an abundant number, since it is smaller than the sum of its proper divisors (452425200).

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

229345344 is an equidigital number, since it uses as much as digits as its factorization.

229345344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14774 (or 14752 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 229345344 is about 15144.1521386970. The cubic root of 229345344 is about 612.1107066163.

The spelling of 229345344 in words is "two hundred twenty-nine million, three hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 14747 15552 29494 44241 58988 88482 117976 132723 176964 235952 265446 353928 398169 471904 530892 707856 796338 943808 1061784 1194507 1415712 1592676 2123568 2389014 2831424 3185352 3583521 4247136 4778028 6370704 7167042 8494272 9556056 12741408 14334084 19112112 25482816 28668168 38224224 57336336 76448448 114672672 229345344