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223230880 = 2559371489
BaseRepresentation
bin11010100111000…
…11101110100000
3120120001022012101
431103203232200
5424121342010
634052340144
75350300615
oct1523435640
9516038171
10223230880
1110500a734
1262914654
133732c1a2
142190c50c
15148e773a
hexd4e3ba0

223230880 has 48 divisors (see below), whose sum is σ = 528300360. Its totient is φ = 89137152.

The previous prime is 223230869. The next prime is 223230883. The reversal of 223230880 is 88032322.

223230880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 87834384 + 135396496 = 9372^2 + 11636^2 .

It is a super-3 number, since 3×2232308803 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223230883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149176 + ... + 150664.

Almost surely, 2223230880 is an apocalyptic number.

223230880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223230880 is an abundant number, since it is smaller than the sum of its proper divisors (305069480).

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

223230880 is a wasteful number, since it uses less digits than its factorization.

223230880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 223230880 is about 14940.9129573798. The cubic root of 223230880 is about 606.6219076318.

The spelling of 223230880 in words is "two hundred twenty-three million, two hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 937 1489 1874 2978 3748 4685 5956 7445 7496 9370 11912 14890 14992 18740 23824 29780 29984 37480 47648 59560 74960 119120 149920 238240 1395193 2790386 5580772 6975965 11161544 13951930 22323088 27903860 44646176 55807720 111615440 223230880