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224014896 = 243578231
BaseRepresentation
bin11010101101000…
…11001000110000
3120121112010200000
431112203020300
5424321434041
634121230000
75360044440
oct1526431060
9517463600
10224014896
111054a5786
1263032300
1337544cc1
1421a74120
15149eebb6
hexd5a3230

224014896 has 120 divisors (see below), whose sum is σ = 743119104. Its totient is φ = 63996480.

The previous prime is 224014877. The next prime is 224014927. The reversal of 224014896 is 698410422.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224014896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23101 + ... + 31331.

Almost surely, 2224014896 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 224014896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371559552).

224014896 is an abundant number, since it is smaller than the sum of its proper divisors (519104208).

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

224014896 is an equidigital number, since it uses as much as digits as its factorization.

224014896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8261 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 224014896 is about 14967.1271792552. The cubic root of 224014896 is about 607.3312562878.

The spelling of 224014896 in words is "two hundred twenty-four million, fourteen thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 756 972 1008 1134 1296 1512 1701 1944 2268 3024 3402 3888 4536 6804 8231 9072 13608 16462 24693 27216 32924 49386 57617 65848 74079 98772 115234 131696 148158 172851 197544 222237 230468 296316 345702 395088 444474 460936 518553 592632 666711 691404 888948 921872 1037106 1185264 1333422 1382808 1555659 1777896 2000133 2074212 2666844 2765616 3111318 3555792 4000266 4148424 4666977 5333688 6222636 8000532 8296848 9333954 10667376 12445272 14000931 16001064 18667908 24890544 28001862 32002128 37335816 56003724 74671632 112007448 224014896