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229848216 = 233132293217
BaseRepresentation
bin11011011001100…
…11010010011000
3121000111111110220
431230303102120
5432320120331
634450240040
75460451263
oct1554632230
9530444426
10229848216
1110881a404
1264b86020
1338808180
1422751cda
15152a3296
hexdb33498

229848216 has 64 divisors (see below), whose sum is σ = 621717600. Its totient is φ = 70391808.

The previous prime is 229848161. The next prime is 229848233. The reversal of 229848216 is 612848922.

229848216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 69840 + ... + 73056.

Almost surely, 2229848216 is an apocalyptic number.

229848216 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 229848216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310858800).

229848216 is an abundant number, since it is smaller than the sum of its proper divisors (391869384).

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

229848216 is a wasteful number, since it uses less digits than its factorization.

229848216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3464 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 229848216 is about 15160.7458919408. The cubic root of 229848216 is about 612.5577597064.

The spelling of 229848216 in words is "two hundred twenty-nine million, eight hundred forty-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 229 312 458 687 916 1374 1832 2748 2977 3217 5496 5954 6434 8931 9651 11908 12868 17862 19302 23816 25736 35724 38604 41821 71448 77208 83642 125463 167284 250926 334568 501852 736693 1003704 1473386 2210079 2946772 4420158 5893544 8840316 9577009 17680632 19154018 28731027 38308036 57462054 76616072 114924108 229848216