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201322240 = 285722469
BaseRepresentation
bin10111111111111…
…10111100000000
3112000211020012021
423333332330000
5403014302430
631551011224
74663132210
oct1377767400
9460736167
10201322240
11a3706419
1257509b14
133292b0b2
141ca48240
1512a1b07a
hexbffef00

201322240 has 72 divisors (see below), whose sum is σ = 551144160. Its totient is φ = 69021696.

The previous prime is 201322223. The next prime is 201322301. The reversal of 201322240 is 42223102.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2275 + ... + 20194.

It is an arithmetic number, because the mean of its divisors is an integer number (7654780).

Almost surely, 2201322240 is an apocalyptic number.

201322240 is a gapful number since it is divisible by the number (20) 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 201322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275572080).

201322240 is an abundant number, since it is smaller than the sum of its proper divisors (349821920).

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

201322240 is an equidigital number, since it uses as much as digits as its factorization.

201322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22497 (or 22483 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 201322240 is about 14188.8068561102. The cubic root of 201322240 is about 586.0894690358.

Adding to 201322240 its reverse (42223102), we get a palindrome (243545342).

The spelling of 201322240 in words is "two hundred one million, three hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 22469 44938 89876 112345 157283 179752 224690 314566 359504 449380 629132 719008 786415 898760 1258264 1438016 1572830 1797520 2516528 2876032 3145660 3595040 5033056 5752064 6291320 7190080 10066112 12582640 14380160 20132224 25165280 28760320 40264448 50330560 100661120 201322240