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214188153 = 33710971759
BaseRepresentation
bin11001100010001…
…00000001111001
3112221000212220120
430301010001321
5414313010103
633130443453
75210366154
oct1461040171
9487025816
10214188153
11aa9a3803
125b893589
13354b426a
1420636c9b
1513c0d253
hexcc44079

214188153 has 16 divisors (see below), whose sum is σ = 293736960. Its totient is φ = 138727296.

The previous prime is 214188133. The next prime is 214188187. The reversal of 214188153 is 351881412.

It is a de Polignac number, because none of the positive numbers 2k-214188153 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214188103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120888 + ... + 122646.

It is an arithmetic number, because the mean of its divisors is an integer number (18358560).

Almost surely, 2214188153 is an apocalyptic number.

It is an amenable number.

214188153 is a deficient number, since it is larger than the sum of its proper divisors (79548807).

214188153 is a wasteful number, since it uses less digits than its factorization.

214188153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896.

The product of its digits is 7680, while the sum is 33.

The square root of 214188153 is about 14635.1683625437. The cubic root of 214188153 is about 598.3176511349.

The spelling of 214188153 in words is "two hundred fourteen million, one hundred eighty-eight thousand, one hundred fifty-three".

Divisors: 1 3 37 111 1097 1759 3291 5277 40589 65083 121767 195249 1929623 5788869 71396051 214188153