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214014401 = 372156329
BaseRepresentation
bin11001100000110…
…01100111000001
3112220201001120022
430300121213001
5414241430101
633123023225
75206043456
oct1460314701
9486631508
10214014401
11aa895207
125b80ab15
1335453153
14205cd82d
1513bc6a1b
hexcc199c1

214014401 has 6 divisors (see below), whose sum is σ = 219956310. Its totient is φ = 208228896.

The previous prime is 214014389. The next prime is 214014407. The reversal of 214014401 is 104410412.

It can be written as a sum of positive squares in 3 ways, for example, as 119924401 + 94090000 = 10951^2 + 9700^2 .

It is not a de Polignac number, because 214014401 - 26 = 214014337 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 214014401.

It is not an unprimeable number, because it can be changed into a prime (214014407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 76796 + ... + 79533.

It is an arithmetic number, because the mean of its divisors is an integer number (36659385).

Almost surely, 2214014401 is an apocalyptic number.

It is an amenable number.

214014401 is a deficient number, since it is larger than the sum of its proper divisors (5941909).

214014401 is an equidigital number, since it uses as much as digits as its factorization.

214014401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156403 (or 156366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 214014401 is about 14629.2310460940. The cubic root of 214014401 is about 598.1558198810.

Adding to 214014401 its reverse (104410412), we get a palindrome (318424813).

The spelling of 214014401 in words is "two hundred fourteen million, fourteen thousand, four hundred one".

Divisors: 1 37 1369 156329 5784173 214014401