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229944064 = 287223797
BaseRepresentation
bin11011011010010…
…10101100000000
3121000200100221211
431231022230000
5432331202224
634452255504
75461330600
oct1555125400
9530610854
10229944064
11108885419
1265011594
133883c99c
1422778c00
15152c1894
hexdb4ab00

229944064 has 108 divisors (see below), whose sum is σ = 557840304. Its totient is φ = 94144512.

The previous prime is 229944047. The next prime is 229944089. The reversal of 229944064 is 460449922.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288114 + ... + 288910.

It is an arithmetic number, because the mean of its divisors is an integer number (5165188).

Almost surely, 2229944064 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 229944064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278920152).

229944064 is an abundant number, since it is smaller than the sum of its proper divisors (327896240).

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

229944064 is an equidigital number, since it uses as much as digits as its factorization.

229944064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The square root of 229944064 is about 15163.9066206568. The cubic root of 229944064 is about 612.6428945517.

The spelling of 229944064 in words is "two hundred twenty-nine million, nine hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 256 322 368 392 448 644 736 784 797 896 1127 1288 1472 1568 1594 1792 2254 2576 2944 3136 3188 4508 5152 5579 5888 6272 6376 9016 10304 11158 12544 12752 18032 18331 20608 22316 25504 36064 36662 39053 41216 44632 51008 72128 73324 78106 89264 102016 128317 144256 146648 156212 178528 204032 256634 288512 293296 312424 357056 513268 586592 624848 714112 898219 1026536 1173184 1249696 1428224 1796438 2053072 2346368 2499392 3592876 4106144 4692736 4998784 7185752 8212288 9997568 14371504 16424576 28743008 32849152 57486016 114972032 229944064