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298080224 = 2513838997
BaseRepresentation
bin10001110001000…
…101011111100000
3202202220001012022
4101301011133200
51102302031344
645324521012
710246432361
oct2161053740
9682801168
10298080224
111432930a2
12839b0168
13499a8040
142b833b68
151b2800ee
hex11c457e0

298080224 has 96 divisors (see below), whose sum is σ = 653456160. Its totient is φ = 133005312.

The previous prime is 298080203. The next prime is 298080239. The reversal of 298080224 is 422080892.

It is a Cunningham number, because it is equal to 172652-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3072944 + ... + 3073040.

It is an arithmetic number, because the mean of its divisors is an integer number (6806835).

Almost surely, 2298080224 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 298080224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326728080).

298080224 is an abundant number, since it is smaller than the sum of its proper divisors (355375936).

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

298080224 is a wasteful number, since it uses less digits than its factorization.

298080224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 298080224 is about 17264.9999710397. Note that the first 4 decimals coincide. The cubic root of 298080224 is about 668.0019362417.

The spelling of 298080224 in words is "two hundred ninety-eight million, eighty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 83 89 97 104 166 178 194 208 332 356 388 416 664 712 776 1079 1157 1261 1328 1424 1552 2158 2314 2522 2656 2848 3104 4316 4628 5044 7387 8051 8632 8633 9256 10088 14774 16102 17264 17266 18512 20176 29548 32204 34528 34532 37024 40352 59096 64408 69064 96031 104663 112229 118192 128816 138128 192062 209326 224458 236384 257632 276256 384124 418652 448916 716539 768248 837304 897832 1433078 1536496 1674608 1795664 2866156 3072992 3349216 3591328 5732312 9315007 11464624 18630014 22929248 37260028 74520056 149040112 298080224