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214005220 = 225111374827
BaseRepresentation
bin11001100000101…
…11010111100100
3112220200120222021
430300113113210
5414241131340
633122512524
75206004632
oct1460272744
9486616867
10214005220
11aa889320
125b805744
133544bc10
14205ca352
1513bc3e4a
hexcc175e4

214005220 has 48 divisors (see below), whose sum is σ = 527986368. Its totient is φ = 71832960.

The previous prime is 214005173. The next prime is 214005221. The reversal of 214005220 is 22500412.

214005220 is digitally balanced in base 2, 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 = 214005194 and 214005203.

It is not an unprimeable number, because it can be changed into a prime (214005221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34554 + ... + 40273.

It is an arithmetic number, because the mean of its divisors is an integer number (10999716).

Almost surely, 2214005220 is an apocalyptic number.

214005220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214005220 is an abundant number, since it is smaller than the sum of its proper divisors (313981148).

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

214005220 is a wasteful number, since it uses less digits than its factorization.

214005220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74860 (or 74858 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 214005220 is about 14628.9172531668. The cubic root of 214005220 is about 598.1472663334.

Adding to 214005220 its reverse (22500412), we get a palindrome (236505632).

The spelling of 214005220 in words is "two hundred fourteen million, five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 74827 149654 299308 374135 748270 823097 972751 1496540 1646194 1945502 3292388 3891004 4115485 4863755 8230970 9727510 10700261 16461940 19455020 21400522 42801044 53501305 107002610 214005220