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210146401 = 17131197479
BaseRepresentation
bin11001000011010…
…01010001100001
3112122102112200001
430201221101201
5412244141101
632504100001
75131133503
oct1441512141
9478375601
10210146401
11a8693113
125a464601
13346ca6aa
141dca3d73
15136b0901
hexc869461

210146401 has 16 divisors (see below), whose sum is σ = 225815040. Its totient is φ = 194871040.

The previous prime is 210146393. The next prime is 210146407. The reversal of 210146401 is 104641012.

It is a cyclic number.

It is not a de Polignac number, because 210146401 - 23 = 210146393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (210146407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438480 + ... + 438958.

It is an arithmetic number, because the mean of its divisors is an integer number (14113440).

Almost surely, 2210146401 is an apocalyptic number.

It is an amenable number.

210146401 is a deficient number, since it is larger than the sum of its proper divisors (15668639).

210146401 is a wasteful number, since it uses less digits than its factorization.

210146401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 210146401 is about 14496.4271805159. The cubic root of 210146401 is about 594.5302895585.

Adding to 210146401 its reverse (104641012), we get a palindrome (314787413).

It can be divided in two parts, 210 and 146401, that added together give a triangular number (146611 = T541).

The spelling of 210146401 in words is "two hundred ten million, one hundred forty-six thousand, four hundred one".

Divisors: 1 17 131 197 479 2227 3349 8143 25807 62749 94363 438719 1066733 1604171 12361553 210146401