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223948800 = 2123752
BaseRepresentation
bin11010101100100…
…11000000000000
3120121101210000000
431112103000000
5424312330200
634120000000
75356350645
oct1526230000
9517353000
10223948800
11105460059
1263000000
1337520baa
1421a57dcc
15149da300
hexd593000

223948800 has 312 divisors, whose sum is σ = 832860880. Its totient is φ = 59719680.

The previous prime is 223948799. The next prime is 223948811. The reversal of 223948800 is 8849322.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)2 ⋅ (3!)3 ⋅ 2!.

It is a super-5 number, since 5×2239488005 (a number of 43 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44789758 + ... + 44789762.

Almost surely, 2223948800 is an apocalyptic number.

223948800 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 223948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416430440).

223948800 is an abundant number, since it is smaller than the sum of its proper divisors (608912080).

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

223948800 is an frugal number, since it uses more digits than its factorization.

223948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 223948800 is about 14964.9189773951. The cubic root of 223948800 is about 607.2715190173.

Multiplying 223948800 by its product of nonzero digits (27648), we get a square (6191736422400 = 24883202).

223948800 divided by its product of nonzero digits (27648) gives a square (8100 = 902).

The spelling of 223948800 in words is "two hundred twenty-three million, nine hundred forty-eight thousand, eight hundred".