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214212416 = 2611304279
BaseRepresentation
bin11001100010010…
…01111101000000
3112221002010012012
430301021331000
5414314244131
633131152052
75210526665
oct1461117500
9487063165
10214212416
11aaa0aa60
125b8a5628
13354c2312
1420641a6c
1513c1552b
hexcc49f40

214212416 has 28 divisors (see below), whose sum is σ = 463722720. Its totient is φ = 97368960.

The previous prime is 214212407. The next prime is 214212431. The reversal of 214212416 is 614212412.

214212416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 214212391 and 214212400.

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, 151436 + ... + 152843.

Almost surely, 2214212416 is an apocalyptic number.

It is an amenable number.

214212416 is an abundant number, since it is smaller than the sum of its proper divisors (249510304).

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

214212416 is a wasteful number, since it uses less digits than its factorization.

214212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304302 (or 304292 counting only the distinct ones).

The product of its digits is 768, while the sum is 23.

The square root of 214212416 is about 14635.9972670126. The cubic root of 214212416 is about 598.3402425385.

Adding to 214212416 its reverse (614212412), we get a palindrome (828424828).

The spelling of 214212416 in words is "two hundred fourteen million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 304279 608558 1217116 2434232 3347069 4868464 6694138 9736928 13388276 19473856 26776552 53553104 107106208 214212416