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214055061 = 31129474759
BaseRepresentation
bin11001100001000…
…11100010010101
3112220210010100020
430300203202111
5414244230221
633123535353
75206303143
oct1460434225
9486703306
10214055061
11aa912810
125b82a559
13354687cc
1420600593
1513bd3ac6
hexcc23895

214055061 has 32 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 122566080.

The previous prime is 214055047. The next prime is 214055063. The reversal of 214055061 is 160550412.

It is not a de Polignac number, because 214055061 - 27 = 214054933 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214055063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42600 + ... + 47358.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2214055061 is an apocalyptic number.

It is an amenable number.

214055061 is a deficient number, since it is larger than the sum of its proper divisors (114956139).

214055061 is a wasteful number, since it uses less digits than its factorization.

214055061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 214055061 is about 14630.6206635262. The cubic root of 214055061 is about 598.1936981351.

The spelling of 214055061 in words is "two hundred fourteen million, fifty-five thousand, sixty-one".

Divisors: 1 3 11 29 33 47 87 141 319 517 957 1363 1551 4089 4759 14277 14993 44979 52349 138011 157047 223673 414033 671019 1518121 2460403 4554363 6486517 7381209 19459551 71351687 214055061