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214016145 = 35717472551
BaseRepresentation
bin11001100000110…
…10000010010001
3112220201010221220
430300122002101
5414242004040
633123035253
75206051530
oct1460320221
9486633856
10214016145
11aa896552
125b80bb29
1335453b95
14205d0317
1513bc72d0
hexcc1a091

214016145 has 64 divisors (see below), whose sum is σ = 423346176. Its totient is φ = 90086400.

The previous prime is 214016137. The next prime is 214016149. The reversal of 214016145 is 541610412.

It is a happy number.

It is not a de Polignac number, because 214016145 - 23 = 214016137 is a prime.

It is a super-2 number, since 2×2140161452 = 91605820641322050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214016149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82620 + ... + 85170.

It is an arithmetic number, because the mean of its divisors is an integer number (6614784).

Almost surely, 2214016145 is an apocalyptic number.

It is an amenable number.

214016145 is a deficient number, since it is larger than the sum of its proper divisors (209330031).

214016145 is a wasteful number, since it uses less digits than its factorization.

214016145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 214016145 is about 14629.2906526598. The cubic root of 214016145 is about 598.1574446641.

Adding to 214016145 its reverse (541610412), we get a palindrome (755626557).

The spelling of 214016145 in words is "two hundred fourteen million, sixteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 15 17 21 35 47 51 85 105 119 141 235 255 329 357 595 705 799 987 1645 1785 2397 2551 3995 4935 5593 7653 11985 12755 16779 17857 27965 38265 43367 53571 83895 89285 119897 130101 216835 267855 303569 359691 599485 650505 839279 910707 1517845 1798455 2038249 2517837 4196395 4553535 6114747 10191245 12589185 14267743 30573735 42803229 71338715 214016145