222329003822400 has 336 divisors, whose sum is σ = 749195528881536. Its totient is φ = 57680978042880.

The previous prime is 222329003822377. The next prime is 222329003822489. The reversal of 222329003822400 is 4228300923222.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2800179502 + ... + 2800258898.

Almost surely, 2^{222329003822400} is an apocalyptic number.

222329003822400 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 222329003822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374597764440768).

222329003822400 is an abundant number, since it is smaller than the sum of its proper divisors (526866525059136).

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

222329003822400 is a wasteful number, since it uses less digits than its factorization.

222329003822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95226 (or 95211 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 222329003822400 in words is "two hundred twenty-two trillion, three hundred twenty-nine billion, three million, eight hundred twenty-two thousand, four hundred".