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223404480 = 2635513217
BaseRepresentation
bin11010101000011…
…10000111000000
3120120101010100000
431110032013000
5424142420410
634100200000
75351623005
oct1524160700
9516333300
10223404480
11105119102
1262999000
1337390200
14219558ac
151492ddc0
hexd50e1c0

223404480 has 504 divisors, whose sum is σ = 913650192. Its totient is φ = 51757056.

The previous prime is 223404469. The next prime is 223404523. The reversal of 223404480 is 84404322.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13141432 + ... + 13141448.

It is an arithmetic number, because the mean of its divisors is an integer number (1812798).

Almost surely, 2223404480 is an apocalyptic number.

223404480 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 223404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456825096).

223404480 is an abundant number, since it is smaller than the sum of its proper divisors (690245712).

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

223404480 is a wasteful number, since it uses less digits than its factorization.

223404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 223404480 is about 14946.7213796203. The cubic root of 223404480 is about 606.7791174770.

The spelling of 223404480 in words is "two hundred twenty-three million, four hundred four thousand, four hundred eighty".