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229854816 = 25324716981
BaseRepresentation
bin11011011001101…
…00111001100000
3121000111211112100
431230310321200
5432320323231
634450330400
75460506442
oct1554647140
9530454470
10229854816
11108824364
1264b89a00
133880b189
1422754492
15152a51e6
hexdb34e60

229854816 has 72 divisors (see below), whose sum is σ = 667596384. Its totient is φ = 74983680.

The previous prime is 229854809. The next prime is 229854817. The reversal of 229854816 is 618458922.

229854816 is a `hidden beast` number, since 2 + 2 + 98 + 548 + 16 = 666.

229854816 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229854817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5046 + ... + 22026.

It is an arithmetic number, because the mean of its divisors is an integer number (9272172).

Almost surely, 2229854816 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 229854816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333798192).

229854816 is an abundant number, since it is smaller than the sum of its proper divisors (437741568).

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

229854816 is a wasteful number, since it uses less digits than its factorization.

229854816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17044 (or 17033 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 229854816 is about 15160.9635577690. The cubic root of 229854816 is about 612.5636227677.

The spelling of 229854816 in words is "two hundred twenty-nine million, eight hundred fifty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 16981 33962 50943 67924 101886 135848 152829 203772 271696 305658 407544 543392 611316 798107 815088 1222632 1596214 1630176 2394321 2445264 3192428 4788642 4890528 6384856 7182963 9577284 12769712 14365926 19154568 25539424 28731852 38309136 57463704 76618272 114927408 229854816