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214123420 = 22576125073
BaseRepresentation
bin11001100001101…
…00001110011100
3112220220121010001
430300310032130
5414303422140
633125224044
75210006350
oct1460641634
9486817101
10214123420
11aa95a105
125b862024
1335490964
142061b460
1513be8e9a
hexcc3439c

214123420 has 48 divisors (see below), whose sum is σ = 522341568. Its totient is φ = 72207360.

The previous prime is 214123391. The next prime is 214123421. The reversal of 214123420 is 24321412.

214123420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214123421) 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 15 ways as a sum of consecutive naturals, for example, 3997 + ... + 21076.

It is an arithmetic number, because the mean of its divisors is an integer number (10882116).

Almost surely, 2214123420 is an apocalyptic number.

214123420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214123420 is an abundant number, since it is smaller than the sum of its proper divisors (308218148).

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

214123420 is a wasteful number, since it uses less digits than its factorization.

214123420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25150 (or 25148 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 214123420 is about 14632.9566390392. The cubic root of 214123420 is about 598.2573695578.

Adding to 214123420 its reverse (24321412), we get a palindrome (238444832).

The spelling of 214123420 in words is "two hundred fourteen million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1708 2135 4270 8540 25073 50146 100292 125365 175511 250730 351022 501460 702044 877555 1529453 1755110 3058906 3510220 6117812 7647265 10706171 15294530 21412342 30589060 42824684 53530855 107061710 214123420