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223254720 = 26325136789
BaseRepresentation
bin11010100111010…
…01100011000000
3120120002111220100
431103221203000
5424123122340
634053042400
75350430253
oct1523514300
9516074810
10223254720
11105026637
1262926400
1337339cb0
142191709a
15148ee830
hexd4e98c0

223254720 has 336 divisors, whose sum is σ = 848746080. Its totient is φ = 53526528.

The previous prime is 223254701. The next prime is 223254737. The reversal of 223254720 is 27452322.

It is a super-3 number, since 3×2232547203 (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2508436 + ... + 2508524.

It is an arithmetic number, because the mean of its divisors is an integer number (2526030).

Almost surely, 2223254720 is an apocalyptic number.

223254720 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 223254720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424373040).

223254720 is an abundant number, since it is smaller than the sum of its proper divisors (625491360).

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

223254720 is a wasteful number, since it uses less digits than its factorization.

223254720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 223254720 is about 14941.7107454267. The cubic root of 223254720 is about 606.6435016447.

The spelling of 223254720 in words is "two hundred twenty-three million, two hundred fifty-four thousand, seven hundred twenty".