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223023120 = 24351635701
BaseRepresentation
bin11010100101100…
…01000000010000
3120112122202012120
431102301000100
5424043214440
634044054240
75345444115
oct1522610020
9515582176
10223023120
11104988631
1262834380
1337288758
142189690c
15148a5dd0
hexd4b1010

223023120 has 80 divisors (see below), whose sum is σ = 695735232. Its totient is φ = 59097600.

The previous prime is 223023113. The next prime is 223023133. The reversal of 223023120 is 21320322.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 223023120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36270 + ... + 41970.

Almost surely, 2223023120 is an apocalyptic number.

223023120 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 223023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347867616).

223023120 is an abundant number, since it is smaller than the sum of its proper divisors (472712112).

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

223023120 is a wasteful number, since it uses less digits than its factorization.

223023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 223023120 is about 14933.9586178615. The cubic root of 223023120 is about 606.4336557692.

Adding to 223023120 its reverse (21320322), we get a palindrome (244343442).

The spelling of 223023120 in words is "two hundred twenty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 163 240 326 489 652 815 978 1304 1630 1956 2445 2608 3260 3912 4890 5701 6520 7824 9780 11402 13040 17103 19560 22804 28505 34206 39120 45608 57010 68412 85515 91216 114020 136824 171030 228040 273648 342060 456080 684120 929263 1368240 1858526 2787789 3717052 4646315 5575578 7434104 9292630 11151156 13938945 14868208 18585260 22302312 27877890 37170520 44604624 55755780 74341040 111511560 223023120