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223354880 = 213571941
BaseRepresentation
bin11010101000000…
…10000000000000
3120120021121021222
431110002000000
5424134324010
634055134212
75351325260
oct1524020000
9516247258
10223354880
11105094911
1262974368
1337373768
14219417a0
151491e355
hexd502000

223354880 has 224 divisors, whose sum is σ = 660562560. Its totient is φ = 70778880.

The previous prime is 223354877. The next prime is 223354889. The reversal of 223354880 is 88453322.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 223354880.

It is not an unprimeable number, because it can be changed into a prime (223354889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5447660 + ... + 5447700.

It is an arithmetic number, because the mean of its divisors is an integer number (2948940).

Almost surely, 2223354880 is an apocalyptic number.

223354880 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 223354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330281280).

223354880 is an abundant number, since it is smaller than the sum of its proper divisors (437207680).

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

223354880 is an equidigital number, since it uses as much as digits as its factorization.

223354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 223354880 is about 14945.0620607611. The cubic root of 223354880 is about 606.7342086912.

The spelling of 223354880 in words is "two hundred twenty-three million, three hundred fifty-four thousand, eight hundred eighty".