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223322320 = 24513214733
BaseRepresentation
bin11010100111110…
…10000011010000
3120120012221122001
431103322003100
5424132303240
634054323344
75351131324
oct1523720320
9516187561
10223322320
11105072401
1262959554
13373619b0
1421933984
151491489a
hexd4fa0d0

223322320 has 40 divisors (see below), whose sum is σ = 559167336. Its totient is φ = 82457088.

The previous prime is 223322311. The next prime is 223322327. The reversal of 223322320 is 23223322.

It can be written as a sum of positive squares in 4 ways, for example, as 12027024 + 211295296 = 3468^2 + 14536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2233223202 = 99745717220364800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223322327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106327 + ... + 108406.

Almost surely, 2223322320 is an apocalyptic number.

223322320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223322320 is an abundant number, since it is smaller than the sum of its proper divisors (335845016).

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

223322320 is a wasteful number, since it uses less digits than its factorization.

223322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214759 (or 214753 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 223322320 is about 14943.9726980479. The cubic root of 223322320 is about 606.7047246315.

Adding to 223322320 its reverse (23223322), we get a palindrome (246545642).

The spelling of 223322320 in words is "two hundred twenty-three million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 214733 429466 858932 1073665 1717864 2147330 2791529 3435728 4294660 5583058 8589320 11166116 13957645 17178640 22332232 27915290 44664464 55830580 111661160 223322320