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214090016 = 2572136537
BaseRepresentation
bin11001100001011…
…00000100100000
3112220211220021212
430300230010200
5414301340031
633124405252
75206510100
oct1460540440
9486756255
10214090016
11aa936aa8
125b846828
133547b6aa
142060d200
1513bde12b
hexcc2c120

214090016 has 36 divisors (see below), whose sum is σ = 490307958. Its totient is φ = 91752192.

The previous prime is 214090013. The next prime is 214090021. The reversal of 214090016 is 610090412.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 162307600 + 51782416 = 12740^2 + 7196^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214089973 and 214090000.

It is not an unprimeable number, because it can be changed into a prime (214090013) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66701 + ... + 69836.

Almost surely, 2214090016 is an apocalyptic number.

It is an amenable number.

214090016 is an abundant number, since it is smaller than the sum of its proper divisors (276217942).

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

214090016 is a wasteful number, since it uses less digits than its factorization.

214090016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136561 (or 136546 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 214090016 is about 14631.8151983956. The cubic root of 214090016 is about 598.2262578614.

The spelling of 214090016 in words is "two hundred fourteen million, ninety thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 136537 273074 546148 955759 1092296 1911518 2184592 3823036 4369184 6690313 7646072 13380626 15292144 26761252 30584288 53522504 107045008 214090016