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201325200 = 24352167771
BaseRepresentation
bin10111111111111…
…11101010010000
3112000211101020220
423333333222100
5403014401300
631551033040
74663143636
oct1377775220
9460741226
10201325200
11a370866a
125750b780
133292c54b
141ca49356
1512a1bda0
hexbfffa90

201325200 has 60 divisors (see below), whose sum is σ = 644915568. Its totient is φ = 53686400.

The previous prime is 201325181. The next prime is 201325231. The reversal of 201325200 is 2523102.

It is a tau number, because it is divible by the number of its divisors (60).

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 201325200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82686 + ... + 85085.

Almost surely, 2201325200 is an apocalyptic number.

201325200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201325200 is an abundant number, since it is smaller than the sum of its proper divisors (443590368).

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

201325200 is a wasteful number, since it uses less digits than its factorization.

201325200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167792 (or 167781 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 201325200 is about 14188.9111632993. The cubic root of 201325200 is about 586.0923414065.

Adding to 201325200 its reverse (2523102), we get a palindrome (203848302).

The spelling of 201325200 in words is "two hundred one million, three hundred twenty-five thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 167771 335542 503313 671084 838855 1006626 1342168 1677710 2013252 2516565 2684336 3355420 4026504 4194275 5033130 6710840 8053008 8388550 10066260 12582825 13421680 16777100 20132520 25165650 33554200 40265040 50331300 67108400 100662600 201325200