Search a number
-
+
223468700 = 225271321889
BaseRepresentation
bin11010101000111…
…01110010011100
3120120111101102112
431110131302130
5424201444300
634101413152
75352311150
oct1524356234
9516441375
10223468700
11105162384
1262a0a1b8
13373b3500
1421971060
1514942e35
hexd51dc9c

223468700 has 108 divisors (see below), whose sum is σ = 600430320. Its totient is φ = 70686720.

The previous prime is 223468673. The next prime is 223468703. The reversal of 223468700 is 7864322.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223468703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117356 + ... + 119244.

It is an arithmetic number, because the mean of its divisors is an integer number (5559540).

Almost surely, 2223468700 is an apocalyptic number.

223468700 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 223468700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300215160).

223468700 is an abundant number, since it is smaller than the sum of its proper divisors (376961620).

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

223468700 is a wasteful number, since it uses less digits than its factorization.

223468700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 223468700 is about 14948.8695224756. The cubic root of 223468700 is about 606.8372536159.

The spelling of 223468700 in words is "two hundred twenty-three million, four hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 169 175 182 260 325 338 350 364 455 650 676 700 845 910 1183 1300 1690 1820 1889 2275 2366 3380 3778 4225 4550 4732 5915 7556 8450 9100 9445 11830 13223 16900 18890 23660 24557 26446 29575 37780 47225 49114 52892 59150 66115 94450 98228 118300 122785 132230 171899 188900 245570 264460 319241 330575 343798 491140 613925 638482 661150 687596 859495 1227850 1276964 1322300 1596205 1718990 2234687 2455700 3192410 3437980 4297475 4469374 6384820 7981025 8594950 8938748 11173435 15962050 17189900 22346870 31924100 44693740 55867175 111734350 223468700