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214186137 = 31111515639
BaseRepresentation
bin11001100010000…
…11100010011001
3112221000210010220
430301003202121
5414312424022
633130430253
75210360244
oct1461034231
9487023126
10214186137
11aa9a2240
125b892389
13354b3379
142063625b
1513c0c85c
hexcc43899

214186137 has 16 divisors (see below), whose sum is σ = 311869440. Its totient is φ = 129674000.

The previous prime is 214186117. The next prime is 214186177. The reversal of 214186137 is 731681412.

It is a cyclic number.

It is not a de Polignac number, because 214186137 - 219 = 213661849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 214186098 and 214186107.

It is not an unprimeable number, because it can be changed into a prime (214186117) 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, 35164 + ... + 40802.

It is an arithmetic number, because the mean of its divisors is an integer number (19491840).

Almost surely, 2214186137 is an apocalyptic number.

It is an amenable number.

214186137 is a deficient number, since it is larger than the sum of its proper divisors (97683303).

214186137 is a wasteful number, since it uses less digits than its factorization.

214186137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804.

The product of its digits is 8064, while the sum is 33.

The square root of 214186137 is about 14635.0994871917. The cubic root of 214186137 is about 598.3157739502.

The spelling of 214186137 in words is "two hundred fourteen million, one hundred eighty-six thousand, one hundred thirty-seven".

Divisors: 1 3 11 33 1151 3453 5639 12661 16917 37983 62029 186087 6490489 19471467 71395379 214186137