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229343296 = 2671353743
BaseRepresentation
bin11011010101110…
…00000001000000
3120222112211212011
431222320001000
5432202441141
634431342304
75453246230
oct1552700100
9528484764
10229343296
11108505016
1264981994
133868c3c0
142265dcc0
1515203881
hexdab8040

229343296 has 112 divisors (see below), whose sum is σ = 571463424. Its totient is φ = 88897536.

The previous prime is 229343293. The next prime is 229343329. The reversal of 229343296 is 692343922.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (229343293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308301 + ... + 309043.

It is an arithmetic number, because the mean of its divisors is an integer number (5102352).

Almost surely, 2229343296 is an apocalyptic number.

229343296 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 229343296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285731712).

229343296 is an abundant number, since it is smaller than the sum of its proper divisors (342120128).

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

229343296 is a wasteful number, since it uses less digits than its factorization.

229343296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its digits is 139968, while the sum is 40.

The square root of 229343296 is about 15144.0845216870. The cubic root of 229343296 is about 612.1088846093.

The spelling of 229343296 in words is "two hundred twenty-nine million, three hundred forty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 53 56 64 91 104 106 112 182 208 212 224 364 371 416 424 448 689 728 742 743 832 848 1378 1456 1484 1486 1696 2756 2912 2968 2972 3392 4823 5201 5512 5824 5936 5944 9646 9659 10402 11024 11872 11888 19292 19318 20804 22048 23744 23776 38584 38636 39379 41608 44096 47552 67613 77168 77272 78758 83216 135226 154336 154544 157516 166432 270452 275653 308672 309088 315032 332864 511927 540904 551306 618176 630064 1023854 1081808 1102612 1260128 2047708 2163616 2205224 2520256 3583489 4095416 4327232 4410448 7166978 8190832 8820896 14333956 16381664 17641792 28667912 32763328 57335824 114671648 229343296