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214220405 = 572877997
BaseRepresentation
bin11001100010010…
…11111001110101
3112221002112011002
430301023321311
5414320023110
633131253045
75210562200
oct1461137165
9487075132
10214220405
11aaa15a63
125b8aa185
13354c5b49
1420644937
1513c17aa5
hexcc4be75

214220405 has 24 divisors (see below), whose sum is σ = 299675448. Its totient is φ = 146579328.

The previous prime is 214220401. The next prime is 214220411. The reversal of 214220405 is 504022412.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 91431844 + 122788561 = 9562^2 + 11081^2 .

It is not a de Polignac number, because 214220405 - 22 = 214220401 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214220401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214367 + ... + 215363.

It is an arithmetic number, because the mean of its divisors is an integer number (12486477).

Almost surely, 2214220405 is an apocalyptic number.

It is an amenable number.

214220405 is a deficient number, since it is larger than the sum of its proper divisors (85455043).

214220405 is an equidigital number, since it uses as much as digits as its factorization.

214220405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 214220405 is about 14636.2701874487. The cubic root of 214220405 is about 598.3476807640.

Adding to 214220405 its reverse (504022412), we get a palindrome (718242817).

The spelling of 214220405 in words is "two hundred fourteen million, two hundred twenty thousand, four hundred five".

Divisors: 1 5 7 35 49 245 877 997 4385 4985 6139 6979 30695 34895 42973 48853 214865 244265 874369 4371845 6120583 30602915 42844081 214220405