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229365216 = 2533713739
BaseRepresentation
bin11011010101111…
…01010111100000
3120222120221221000
431222331113200
5432204141331
634432032000
75453400153
oct1552752740
9528527830
10229365216
1110851a533
1264992600
1338699382
1422667c9a
151520a0e6
hexdabd5e0

229365216 has 96 divisors (see below), whose sum is σ = 678585600. Its totient is φ = 75358080.

The previous prime is 229365179. The next prime is 229365221. The reversal of 229365216 is 612563922.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59475 + ... + 63213.

It is an arithmetic number, because the mean of its divisors is an integer number (7068600).

Almost surely, 2229365216 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 229365216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339292800).

229365216 is an abundant number, since it is smaller than the sum of its proper divisors (449220384).

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

229365216 is a wasteful number, since it uses less digits than its factorization.

229365216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3829 (or 3815 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 229365216 is about 15144.8082193206. The cubic root of 229365216 is about 612.1283852147.

The spelling of 229365216 in words is "two hundred twenty-nine million, three hundred sixty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 284 288 426 432 568 639 852 864 1136 1278 1704 1917 2272 2556 3408 3739 3834 5112 6816 7478 7668 10224 11217 14956 15336 20448 22434 29912 30672 33651 44868 59824 61344 67302 89736 100953 119648 134604 179472 201906 265469 269208 358944 403812 530938 538416 796407 807624 1061876 1076832 1592814 1615248 2123752 2389221 3185628 3230496 4247504 4778442 6371256 7167663 8495008 9556884 12742512 14335326 19113768 25485024 28670652 38227536 57341304 76455072 114682608 229365216