[go: up one dir, main page]

Search a number
-
+
214014336 = 273557329
BaseRepresentation
bin11001100000110…
…01100110000000
3112220201001110220
430300121212000
5414241424321
633123023040
75206043334
oct1460314600
9486631426
10214014336
11aa895158
125b80aa80
1335453103
14205cd7c4
1513bc69c6
hexcc19980

214014336 has 32 divisors (see below), whose sum is σ = 568476600. Its totient is φ = 71337984.

The previous prime is 214014331. The next prime is 214014337. The reversal of 214014336 is 633410412.

214014336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214014331) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 278281 + ... + 279048.

Almost surely, 2214014336 is an apocalyptic number.

It is an amenable number.

214014336 is an abundant number, since it is smaller than the sum of its proper divisors (354462264).

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

214014336 is an equidigital number, since it uses as much as digits as its factorization.

214014336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557346 (or 557334 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 214014336 is about 14629.2288245143. The cubic root of 214014336 is about 598.1557593241.

Adding to 214014336 its reverse (633410412), we get a palindrome (847424748).

The spelling of 214014336 in words is "two hundred fourteen million, fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 557329 1114658 1671987 2229316 3343974 4458632 6687948 8917264 13375896 17834528 26751792 35669056 53503584 71338112 107007168 214014336