Search a number
-
+
322230120 = 233519314797
BaseRepresentation
bin10011001101001…
…101011101101000
3211110022222121220
4103031031131220
51124442330440
651550302040
710661624262
oct2315153550
9743288556
10322230120
11155988293
128bab7920
13519b2314
1430b1cb32
151d4508d0
hex1334d768

322230120 has 256 divisors, whose sum is σ = 1083801600. Its totient is φ = 76308480.

The previous prime is 322230109. The next prime is 322230131. The reversal of 322230120 is 21032223.

It is an interprime number because it is at equal distance from previous prime (322230109) and next prime (322230131).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 322230120.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3321912 + ... + 3322008.

It is an arithmetic number, because the mean of its divisors is an integer number (4233600).

Almost surely, 2322230120 is an apocalyptic number.

322230120 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 322230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541900800).

322230120 is an abundant number, since it is smaller than the sum of its proper divisors (761571480).

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

322230120 is a wasteful number, since it uses less digits than its factorization.

322230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 322230120 is about 17950.7693428443. The cubic root of 322230120 is about 685.5756398756.

Adding to 322230120 its reverse (21032223), we get a palindrome (343262343).

The spelling of 322230120 in words is "three hundred twenty-two million, two hundred thirty thousand, one hundred twenty".