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214983144 = 23324369439
BaseRepresentation
bin11001101000001…
…10000111101000
3112222112021102200
430310012013220
5420013430034
633155500200
75220220005
oct1464060750
9488467380
10214983144
11100397022
125bbb7660
133570207c
14207a28ac
1513d18a99
hexcd061e8

214983144 has 48 divisors (see below), whose sum is σ = 595795200. Its totient is φ = 69993504.

The previous prime is 214983143. The next prime is 214983163. The reversal of 214983144 is 441389412.

It is a happy number.

214983144 is a `hidden beast` number, since 21 + 498 + 3 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 214983099 and 214983108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214983143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31624 + ... + 37815.

It is an arithmetic number, because the mean of its divisors is an integer number (12412400).

Almost surely, 2214983144 is an apocalyptic number.

214983144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214983144 is an abundant number, since it is smaller than the sum of its proper divisors (380812056).

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

214983144 is a wasteful number, since it uses less digits than its factorization.

214983144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69494 (or 69487 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 214983144 is about 14662.3035025197. The cubic root of 214983144 is about 599.0569853153.

It can be divided in two parts, 21498 and 3144, that added together give a palindrome (24642).

The spelling of 214983144 in words is "two hundred fourteen million, nine hundred eighty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 69439 138878 208317 277756 416634 555512 624951 833268 1249902 1666536 2499804 2985877 4999608 5971754 8957631 11943508 17915262 23887016 26872893 35830524 53745786 71661048 107491572 214983144