Search a number
-
+
214313420 = 22547227993
BaseRepresentation
bin11001100011000…
…10100111001100
3112221021020202002
430301202213030
5414331012140
633133251432
75211430316
oct1461424714
9487236662
10214313420
11aaa79932
125b933b78
1335529299
142066a7b6
1513c35415
hexcc629cc

214313420 has 24 divisors (see below), whose sum is σ = 459635904. Its totient is φ = 83901056.

The previous prime is 214313417. The next prime is 214313423. The reversal of 214313420 is 24313412.

It is an interprime number because it is at equal distance from previous prime (214313417) and next prime (214313423).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 214313392 and 214313401.

It is not an unprimeable number, because it can be changed into a prime (214313423) 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 7 ways as a sum of consecutive naturals, for example, 113057 + ... + 114936.

It is an arithmetic number, because the mean of its divisors is an integer number (19151496).

Almost surely, 2214313420 is an apocalyptic number.

214313420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214313420 is an abundant number, since it is smaller than the sum of its proper divisors (245322484).

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

214313420 is a wasteful number, since it uses less digits than its factorization.

214313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228049 (or 228047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 214313420 is about 14639.4473939422. The cubic root of 214313420 is about 598.4342695529.

Adding to 214313420 its reverse (24313412), we get a palindrome (238626832).

The spelling of 214313420 in words is "two hundred fourteen million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 470 940 227993 455986 911972 1139965 2279930 4559860 10715671 21431342 42862684 53578355 107156710 214313420