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223468900 = 22523760397
BaseRepresentation
bin11010101000111…
…01110101100100
3120120111101200221
431110131311210
5424202001100
634101414124
75352311554
oct1524356544
9516441627
10223468900
11105162546
1262a0a344
13373b3625
1421971164
151494301a
hexd51dd64

223468900 has 36 divisors (see below), whose sum is σ = 498041908. Its totient is φ = 86970240.

The previous prime is 223468873. The next prime is 223468907. The reversal of 223468900 is 9864322.

It can be written as a sum of positive squares in 6 ways, for example, as 802816 + 222666084 = 896^2 + 14922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223468907) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26499 + ... + 33898.

Almost surely, 2223468900 is an apocalyptic number.

223468900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223468900 is an abundant number, since it is smaller than the sum of its proper divisors (274573008).

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

223468900 is a wasteful number, since it uses less digits than its factorization.

223468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60448 (or 60441 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 223468900 is about 14948.8762119432. The cubic root of 223468900 is about 606.8374346516.

The spelling of 223468900 in words is "two hundred twenty-three million, four hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 60397 120794 241588 301985 603970 1207940 1509925 2234689 3019850 4469378 6039700 8938756 11173445 22346890 44693780 55867225 111734450 223468900