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223450080 = 2535773911
BaseRepresentation
bin11010101000110…
…01001111100000
3120120110102212220
431110121033200
5424200400310
634101151040
75352202650
oct1524311740
9516412786
10223450080
1110514a397
12629bb480
13373a7ba9
1421968360
151493c670
hexd5193e0

223450080 has 192 divisors, whose sum is σ = 816334848. Its totient is φ = 50319360.

The previous prime is 223450063. The next prime is 223450103. The reversal of 223450080 is 80054322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 223450080.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 244825 + ... + 245735.

It is an arithmetic number, because the mean of its divisors is an integer number (4251744).

Almost surely, 2223450080 is an apocalyptic number.

223450080 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 223450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408167424).

223450080 is an abundant number, since it is smaller than the sum of its proper divisors (592884768).

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

223450080 is a wasteful number, since it uses less digits than its factorization.

223450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 223450080 is about 14948.2467199334. The cubic root of 223450080 is about 606.8203987223.

The spelling of 223450080 in words is "two hundred twenty-three million, four hundred fifty thousand, eighty".