322225920 has 216 divisors, whose sum is σ = 1131648336. Its totient is φ = 84639744.

The previous prime is 322225919. The next prime is 322225951. The reversal of 322225920 is 29522223.

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 23 ways as a sum of consecutive naturals, for example, 955992 + ... + 956328.

Almost surely, 2^322225920 is an apocalyptic number.

322225920 is a gapful number since it is divisible by the number (30) 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 322225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565824168).

322225920 is an abundant number, since it is smaller than the sum of its proper divisors (809422416).

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

322225920 is a wasteful number, since it uses less digits than its factorization.

322225920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 322225920 is about 17950.6523558338. The cubic root of 322225920 is about 685.5726612277.

The spelling of 322225920 in words is "three hundred twenty-two million, two hundred twenty-five thousand, nine hundred twenty".