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331222320 = 2432511133217
BaseRepresentation
bin10011101111100…
…000110100110000
3212002020211121100
4103233200310300
51134243103240
652511124400
711131225512
oct2357406460
9762224540
10331222320
1115aa6a260
1292b13700
1353810250
1431dbdbb2
151e129e30
hex13be0d30

331222320 has 240 divisors, whose sum is σ = 1307228832. Its totient is φ = 74096640.

The previous prime is 331222319. The next prime is 331222327. The reversal of 331222320 is 23222133.

It is a happy number.

331222320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331222293 and 331222302.

It is not an unprimeable number, because it can be changed into a prime (331222327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101352 + ... + 104568.

Almost surely, 2331222320 is an apocalyptic number.

331222320 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 331222320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653614416).

331222320 is an abundant number, since it is smaller than the sum of its proper divisors (976006512).

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

331222320 is a wasteful number, since it uses less digits than its factorization.

331222320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 331222320 is about 18199.5142792328. The cubic root of 331222320 is about 691.8944786588.

Adding to 331222320 its reverse (23222133), we get a palindrome (354444453).

The spelling of 331222320 in words is "three hundred thirty-one million, two hundred twenty-two thousand, three hundred twenty".