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172200127 = 115325573
BaseRepresentation
bin10100100001110…
…01000010111111
3110000000200011111
422100321002333
5323040401002
625030502451
74160451121
oct1220710277
9400020144
10172200127
1189225560
1249804a27
13298a2888
1418c27211
15101b73d7
hexa4390bf

172200127 has 12 divisors (see below), whose sum is σ = 191500344. Its totient is φ = 153564320.

The previous prime is 172200121. The next prime is 172200131. The reversal of 172200127 is 721002271.

172200127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-172200127 is a prime.

It is a super-2 number, since 2×1722001272 = 59305767477632258, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 172200098 and 172200107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (172200121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28113 + ... + 33685.

It is an arithmetic number, because the mean of its divisors is an integer number (15958362).

Almost surely, 2172200127 is an apocalyptic number.

172200127 is a deficient number, since it is larger than the sum of its proper divisors (19300217).

172200127 is an equidigital number, since it uses as much as digits as its factorization.

172200127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5690 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 172200127 is about 13122.5046008756. The cubic root of 172200127 is about 556.3453841058.

Adding to 172200127 its reverse (721002271), we get a palindrome (893202398).

The spelling of 172200127 in words is "one hundred seventy-two million, two hundred thousand, one hundred twenty-seven".

Divisors: 1 11 53 583 2809 5573 30899 61303 295369 3249059 15654557 172200127