2223514080 has 144 divisors (see below), whose sum is σ = 7613240544. Its totient is φ = 590945280.

The previous prime is 2223514063. The next prime is 2223514087. The reversal of 2223514080 is 804153222.

2223514080 is a `hidden beast` number, since 22 + 235 + 1 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223514087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 454045 + ... + 458915.

It is an arithmetic number, because the mean of its divisors is an integer number (52869726).

Almost surely, 2^2223514080 is an apocalyptic number.

2223514080 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 2223514080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806620272).

2223514080 is an abundant number, since it is smaller than the sum of its proper divisors (5389726464).

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

2223514080 is a wasteful number, since it uses less digits than its factorization.

2223514080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5209 (or 5198 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2223514080 is about 47154.1523092081. The cubic root of 2223514080 is about 1305.2087040147.

It can be divided in two parts, 22235 and 14080, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 2223514080 in words is "two billion, two hundred twenty-three million, five hundred fourteen thousand, eighty".