Search a number
-
+
223318480 = 24572115179
BaseRepresentation
bin11010100111110…
…01000111010000
3120120012202100211
431103321013100
5424132142410
634054253504
75351114200
oct1523710720
9516182324
10223318480
1110506a530
1262957294
1337360018
1421932400
151491368a
hexd4f91d0

223318480 has 120 divisors (see below), whose sum is σ = 659020320. Its totient is φ = 69592320.

The previous prime is 223318439. The next prime is 223318483. The reversal of 223318480 is 84813322.

223318480 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2233184802 = 99742287019020800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223318483) 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, 40531 + ... + 45709.

It is an arithmetic number, because the mean of its divisors is an integer number (5491836).

Almost surely, 2223318480 is an apocalyptic number.

223318480 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 223318480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329510160).

223318480 is an abundant number, since it is smaller than the sum of its proper divisors (435701840).

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

223318480 is a wasteful number, since it uses less digits than its factorization.

223318480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5204 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 223318480 is about 14943.8442176034. The cubic root of 223318480 is about 606.7012472070.

The spelling of 223318480 in words is "two hundred twenty-three million, three hundred eighteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 176 196 220 245 280 308 385 392 440 490 539 560 616 770 784 880 980 1078 1232 1540 1960 2156 2695 3080 3920 4312 5179 5390 6160 8624 10358 10780 20716 21560 25895 36253 41432 43120 51790 56969 72506 82864 103580 113938 145012 181265 207160 227876 253771 284845 290024 362530 398783 414320 455752 507542 569690 580048 725060 797566 911504 1015084 1139380 1268855 1450120 1595132 1993915 2030168 2278760 2537710 2791481 2900240 3190264 3987830 4060336 4557520 5075420 5582962 6380528 7975660 10150840 11165924 13957405 15951320 20301680 22331848 27914810 31902640 44663696 55829620 111659240 223318480