Search a number
-
+
322725060 = 223457149191
BaseRepresentation
bin10011001111000…
…110010011000100
3211111021010120000
4103033012103010
51130104200220
652005041300
710666055250
oct2317062304
9744233500
10322725060
11156196129
12900b6230
1351b26698
1430c0b260
151d4ec390
hex133c64c4

322725060 has 240 divisors, whose sum is σ = 1170892800. Its totient is φ = 72887040.

The previous prime is 322725049. The next prime is 322725061. The reversal of 322725060 is 60527223.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (322725061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1689565 + ... + 1689755.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2322725060 is an apocalyptic number.

322725060 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 322725060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585446400).

322725060 is an abundant number, since it is smaller than the sum of its proper divisors (848167740).

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

322725060 is a wasteful number, since it uses less digits than its factorization.

322725060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 322725060 is about 17964.5500917780. The cubic root of 322725060 is about 685.9264711655.

The spelling of 322725060 in words is "three hundred twenty-two million, seven hundred twenty-five thousand, sixty".