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201172704 = 25317312113
BaseRepresentation
bin10111111110110…
…10011011100000
3112000112122001220
423333122123200
5403000011304
631543455040
74661640225
oct1377323340
9460478056
10201172704
11a3614037
1257457480
13328a8005
141ca0994c
15129dbad9
hexbfda6e0

201172704 has 48 divisors (see below), whose sum is σ = 531174672. Its totient is φ = 66664448.

The previous prime is 201172687. The next prime is 201172711. The reversal of 201172704 is 407271102.

201172704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10552 + ... + 22664.

It is an arithmetic number, because the mean of its divisors is an integer number (11066139).

Almost surely, 2201172704 is an apocalyptic number.

201172704 is a gapful number since it is divisible by the number (24) 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 201172704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265587336).

201172704 is an abundant number, since it is smaller than the sum of its proper divisors (330001968).

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

201172704 is a wasteful number, since it uses less digits than its factorization.

201172704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12299 (or 12291 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 201172704 is about 14183.5363714414. The cubic root of 201172704 is about 585.9443233182.

The spelling of 201172704 in words is "two hundred one million, one hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 519 692 1038 1384 2076 2768 4152 5536 8304 12113 16608 24226 36339 48452 72678 96904 145356 193808 290712 387616 581424 1162848 2095549 4191098 6286647 8382196 12573294 16764392 25146588 33528784 50293176 67057568 100586352 201172704