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214013385 = 3254755853
BaseRepresentation
bin11001100000110…
…01010111001001
3112220201000011200
430300121113021
5414241412020
633123014413
75206040505
oct1460312711
9486630150
10214013385
11aa894473
125b80a409
1335452851
14205cd305
1513bc6590
hexcc195c9

214013385 has 12 divisors (see below), whose sum is σ = 370956612. Its totient is φ = 114140448.

The previous prime is 214013363. The next prime is 214013389. The reversal of 214013385 is 583310412.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 147476736 + 66536649 = 12144^2 + 8157^2 .

It is not a de Polignac number, because 214013385 - 215 = 213980617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (214013389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2377882 + ... + 2377971.

It is an arithmetic number, because the mean of its divisors is an integer number (30913051).

Almost surely, 2214013385 is an apocalyptic number.

It is an amenable number.

214013385 is a deficient number, since it is larger than the sum of its proper divisors (156943227).

214013385 is a wasteful number, since it uses less digits than its factorization.

214013385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755864 (or 4755861 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 214013385 is about 14629.1963210561. The cubic root of 214013385 is about 598.1548733290.

Adding to 214013385 its reverse (583310412), we get a palindrome (797323797).

The spelling of 214013385 in words is "two hundred fourteen million, thirteen thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 4755853 14267559 23779265 42802677 71337795 214013385