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229383648 = 253213197311
BaseRepresentation
bin11011010110000…
…01110111100000
3120222121220012200
431223001313200
5432210234043
634432253200
75453504664
oct1553016740
9528556180
10229383648
1110853236a
12649a1200
13386a4890
14226708a4
15152107d3
hexdac1de0

229383648 has 144 divisors (see below), whose sum is σ = 708323616. Its totient is φ = 69995520.

The previous prime is 229383619. The next prime is 229383673. The reversal of 229383648 is 846383922.

229383648 is a `hidden beast` number, since 229 + 383 + 6 + 48 = 666.

229383648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737413 + ... + 737723.

It is an arithmetic number, because the mean of its divisors is an integer number (4918914).

Almost surely, 2229383648 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 229383648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354161808).

229383648 is an abundant number, since it is smaller than the sum of its proper divisors (478939968).

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

229383648 is a wasteful number, since it uses less digits than its factorization.

229383648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 229383648 is about 15145.4167324640. The cubic root of 229383648 is about 612.1447818424.

The spelling of 229383648 in words is "two hundred twenty-nine million, three hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 197 208 234 288 311 312 394 416 468 591 622 624 788 933 936 1182 1244 1248 1576 1773 1866 1872 2364 2488 2561 2799 3152 3546 3732 3744 4043 4728 4976 5122 5598 6304 7092 7464 7683 8086 9456 9952 10244 11196 12129 14184 14928 15366 16172 18912 20488 22392 23049 24258 28368 29856 30732 32344 36387 40976 44784 46098 48516 56736 61267 61464 64688 72774 81952 89568 92196 97032 122534 122928 129376 145548 183801 184392 194064 245068 245856 291096 367602 368784 388128 490136 551403 582192 735204 737568 796471 980272 1102806 1164384 1470408 1592942 1960544 2205612 2389413 2940816 3185884 4411224 4778826 5881632 6371768 7168239 8822448 9557652 12743536 14336478 17644896 19115304 25487072 28672956 38230608 57345912 76461216 114691824 229383648