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223038000 = 24325312391
BaseRepresentation
bin11010100101101…
…00101000110000
3120112200111121200
431102310220300
5424044204000
634044251200
75345535363
oct1522645060
9515614550
10223038000
11104998829
1262840b00
1337292463
142189c0da
15148aa500
hexd4b4a30

223038000 has 120 divisors (see below), whose sum is σ = 779060256. Its totient is φ = 59472000.

The previous prime is 223037993. The next prime is 223038007. The reversal of 223038000 is 830322.

It is an interprime number because it is at equal distance from previous prime (223037993) and next prime (223038007).

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (223038007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11805 + ... + 24195.

Almost surely, 2223038000 is an apocalyptic number.

223038000 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 223038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389530128).

223038000 is an abundant number, since it is smaller than the sum of its proper divisors (556022256).

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

223038000 is a wasteful number, since it uses less digits than its factorization.

223038000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12420 (or 12401 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223038000 is about 14934.4568029775. The cubic root of 223038000 is about 606.4471424609.

Adding to 223038000 its reverse (830322), we get a palindrome (223868322).

It can be divided in two parts, 22303 and 8000, that added together give a palindrome (30303).

The spelling of 223038000 in words is "two hundred twenty-three million, thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 12391 18000 24782 37173 49564 61955 74346 99128 111519 123910 148692 185865 198256 223038 247820 297384 309775 371730 446076 495640 557595 594768 619550 743460 892152 929325 991280 1115190 1239100 1486920 1548875 1784304 1858650 2230380 2478200 2787975 2973840 3097750 3717300 4460760 4646625 4956400 5575950 6195500 7434600 8921520 9293250 11151900 12391000 13939875 14869200 18586500 22303800 24782000 27879750 37173000 44607600 55759500 74346000 111519000 223038000