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201324330 = 232514915013
BaseRepresentation
bin10111111111111…
…11011100101010
3112000211100001200
423333333130222
5403014334310
631551025030
74663141254
oct1377773452
9460740050
10201324330
11a3707a49
125750b176
133292c02c
141ca48cd4
1512a1b9c0
hexbfff72a

201324330 has 48 divisors (see below), whose sum is σ = 526991400. Its totient is φ = 53322624.

The previous prime is 201324329. The next prime is 201324367. The reversal of 201324330 is 33423102.

201324330 is a `hidden beast` number, since 201 + 32 + 433 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144216081 + 57108249 = 12009^2 + 7557^2 .

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5904 + ... + 20916.

Almost surely, 2201324330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201324330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263495700).

201324330 is an abundant number, since it is smaller than the sum of its proper divisors (325667070).

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

201324330 is a wasteful number, since it uses less digits than its factorization.

201324330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15175 (or 15172 counting only the distinct ones).

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

The square root of 201324330 is about 14188.8805055226. The cubic root of 201324330 is about 586.0914971653.

Adding to 201324330 its reverse (33423102), we get a palindrome (234747432).

The spelling of 201324330 in words is "two hundred one million, three hundred twenty-four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6705 13410 15013 30026 45039 75065 90078 135117 150130 225195 270234 450390 675585 1351170 2236937 4473874 6710811 11184685 13421622 20132433 22369370 33554055 40264866 67108110 100662165 201324330