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214142424 = 2338922601
BaseRepresentation
bin11001100001110…
…00110111011000
3112220221120011220
430300320313120
5414310024144
633125452040
75210115636
oct1460706730
9486846156
10214142424
11aa972411
125b871020
13354994c2
1420624356
1513bee919
hexcc38dd8

214142424 has 16 divisors (see below), whose sum is σ = 535356120. Its totient is φ = 71380800.

The previous prime is 214142363. The next prime is 214142437. The reversal of 214142424 is 424241412.

214142424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 8922601 = 214142424 / (2 + 1 + 4 + 1 + 4 + 2 + 4 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 214142394 and 214142403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4461277 + ... + 4461324.

Almost surely, 2214142424 is an apocalyptic number.

214142424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214142424 is an abundant number, since it is smaller than the sum of its proper divisors (321213696).

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

214142424 is a wasteful number, since it uses less digits than its factorization.

214142424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8922610 (or 8922606 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 214142424 is about 14633.6059807554. The cubic root of 214142424 is about 598.2750679903.

Adding to 214142424 its reverse (424241412), we get a palindrome (638383836).

The spelling of 214142424 in words is "two hundred fourteen million, one hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 8922601 17845202 26767803 35690404 53535606 71380808 107071212 214142424