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224329314 = 231117219619
BaseRepresentation
bin11010101111011…
…11111001100010
3120122010002222010
431113233321202
5424412014224
634132053350
75362524216
oct1527577142
9518102863
10224329314
1110569aa30
1263164256
1337625151
1421b16946
1514a62e29
hexd5efe62

224329314 has 96 divisors (see below), whose sum is σ = 548179200. Its totient is φ = 60514560.

The previous prime is 224329283. The next prime is 224329321. The reversal of 224329314 is 413923422.

It is a super-2 number, since 2×2243293142 = 100647282239421192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 362097 + ... + 362715.

It is an arithmetic number, because the mean of its divisors is an integer number (5710200).

Almost surely, 2224329314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224329314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274089600).

224329314 is an abundant number, since it is smaller than the sum of its proper divisors (323849886).

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

224329314 is a wasteful number, since it uses less digits than its factorization.

224329314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 671 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 224329314 is about 14977.6271151341. The cubic root of 224329314 is about 607.6152650937.

The spelling of 224329314 in words is "two hundred twenty-four million, three hundred twenty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 17 19 22 33 34 38 51 57 66 102 114 187 209 289 323 374 418 561 578 619 627 646 867 969 1122 1238 1254 1734 1857 1938 3179 3553 3714 5491 6358 6809 7106 9537 10523 10659 10982 11761 13618 16473 19074 20427 21046 21318 23522 31569 32946 35283 40854 60401 63138 70566 115753 120802 129371 178891 181203 199937 231506 258742 347259 357782 362406 388113 399874 536673 599811 694518 776226 1073346 1199622 1967801 2199307 3398929 3935602 4398614 5903403 6597921 6797858 10196787 11806806 13195842 20393574 37388219 74776438 112164657 224329314