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223896240 = 243252910723
BaseRepresentation
bin11010101100001…
…10001010110000
3120121022002220100
431112012022300
5424304134430
634114512400
75356041501
oct1526061260
9517262810
10223896240
11105424617
1262b95700
1337502ca9
1421a42ba8
15149c9960
hexd5862b0

223896240 has 120 divisors (see below), whose sum is σ = 777918960. Its totient is φ = 57641472.

The previous prime is 223896217. The next prime is 223896263. The reversal of 223896240 is 42698322.

223896240 is a `hidden beast` number, since 2 + 23 + 8 + 9 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (223896217) and next prime (223896263).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×2238962402 = 100259052572275200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 223896195 and 223896204.

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, 15519 + ... + 26241.

It is an arithmetic number, because the mean of its divisors is an integer number (6482658).

Almost surely, 2223896240 is an apocalyptic number.

223896240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388959480).

223896240 is an abundant number, since it is smaller than the sum of its proper divisors (554022720).

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

223896240 is a wasteful number, since it uses less digits than its factorization.

223896240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10771 (or 10762 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 223896240 is about 14963.1627672762. The cubic root of 223896240 is about 607.2240071330.

The spelling of 223896240 in words is "two hundred twenty-three million, eight hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 29 30 36 40 45 48 58 60 72 80 87 90 116 120 144 145 174 180 232 240 261 290 348 360 435 464 522 580 696 720 870 1044 1160 1305 1392 1740 2088 2320 2610 3480 4176 5220 6960 10440 10723 20880 21446 32169 42892 53615 64338 85784 96507 107230 128676 160845 171568 193014 214460 257352 310967 321690 386028 428920 482535 514704 621934 643380 772056 857840 932901 965070 1243868 1286760 1544112 1554835 1865802 1930140 2487736 2573520 2798703 3109670 3731604 3860280 4664505 4975472 5597406 6219340 7463208 7720560 9329010 11194812 12438680 13993515 14926416 18658020 22389624 24877360 27987030 37316040 44779248 55974060 74632080 111948120 223896240