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223056900 = 2232521122531
BaseRepresentation
bin11010100101110…
…01010000000100
3120112201110112200
431102321100010
5424100310100
634044514500
75345644443
oct1522712004
9515643480
10223056900
11104a00a50
126284ba30
133729ac41
14218a4d5a
15148b0e00
hexd4b9404

223056900 has 108 divisors (see below), whose sum is σ = 762753264. Its totient is φ = 54072000.

The previous prime is 223056887. The next prime is 223056901. The reversal of 223056900 is 9650322.

It is a super-2 number, since 2×2230569002 = 99508761275220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223056901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1366 + ... + 21165.

Almost surely, 2223056900 is an apocalyptic number.

223056900 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 223056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381376632).

223056900 is an abundant number, since it is smaller than the sum of its proper divisors (539696364).

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

223056900 is a wasteful number, since it uses less digits than its factorization.

223056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22562 (or 22552 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 223056900 is about 14935.0895544687. The cubic root of 223056900 is about 606.4642718697.

The spelling of 223056900 in words is "two hundred twenty-three million, fifty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 22531 45062 67593 90124 112655 135186 202779 225310 247841 270372 337965 405558 450620 495682 563275 675930 743523 811116 991364 1013895 1126550 1239205 1351860 1487046 1689825 2027790 2230569 2253100 2478410 2974092 3379650 3717615 4055580 4461138 4956820 5069475 6196025 6759300 7435230 8922276 10138950 11152845 12392050 14870460 18588075 20277900 22305690 24784100 37176150 44611380 55764225 74352300 111528450 223056900