222546240 has 504 divisors, whose sum is σ = 948598560. Its totient is φ = 47609856.

The previous prime is 222546217. The next prime is 222546253. The reversal of 222546240 is 42645222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

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, 2681239 + ... + 2681321.

It is an arithmetic number, because the mean of its divisors is an integer number (1882140).

Almost surely, 2^222546240 is an apocalyptic number.

222546240 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 222546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474299280).

222546240 is an abundant number, since it is smaller than the sum of its proper divisors (726052320).

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

222546240 is a wasteful number, since it uses less digits than its factorization.

222546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 222546240 is about 14917.9837779775. The cubic root of 222546240 is about 606.0011110002.

The spelling of 222546240 in words is "two hundred twenty-two million, five hundred forty-six thousand, two hundred forty".