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214930420 = 22518895689
BaseRepresentation
bin11001100111110…
…01001111110100
3112222102121002221
430303321033310
5420010233140
633154412124
75216610205
oct1463711764
9488377087
10214930420
11100360451
125bb91044
13356b4083
142078b5ac
1513d0814a
hexccf93f4

214930420 has 24 divisors (see below), whose sum is σ = 451672200. Its totient is φ = 85911552.

The previous prime is 214930403. The next prime is 214930421. The reversal of 214930420 is 24039412.

It can be written as a sum of positive squares in 4 ways, for example, as 68326756 + 146603664 = 8266^2 + 12108^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214930421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34936 + ... + 40624.

It is an arithmetic number, because the mean of its divisors is an integer number (18819675).

Almost surely, 2214930420 is an apocalyptic number.

214930420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214930420 is an abundant number, since it is smaller than the sum of its proper divisors (236741780).

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

214930420 is a wasteful number, since it uses less digits than its factorization.

214930420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587 (or 7585 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 214930420 is about 14660.5054483125. The cubic root of 214930420 is about 599.0080089750.

Adding to 214930420 its reverse (24039412), we get a palindrome (238969832).

The spelling of 214930420 in words is "two hundred fourteen million, nine hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1889 3778 5689 7556 9445 11378 18890 22756 28445 37780 56890 113780 10746521 21493042 42986084 53732605 107465210 214930420