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214534953 = 3329311881
BaseRepresentation
bin11001100100110…
…00101100101001
3112221200111122000
430302120230221
5414410104303
633142121213
75213342223
oct1462305451
9487614560
10214534953
11100110316
125ba20209
13355a6079
14206c7413
1513c7ada3
hexcc98b29

214534953 has 32 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 137491200.

The previous prime is 214534939. The next prime is 214534979. The reversal of 214534953 is 359435412.

It is not a de Polignac number, because 214534953 - 25 = 214534921 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (214534913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243073 + ... + 243953.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2214534953 is an apocalyptic number.

It is an amenable number.

214534953 is a deficient number, since it is larger than the sum of its proper divisors (115685847).

214534953 is a wasteful number, since it uses less digits than its factorization.

214534953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 214534953 is about 14647.0117430143. The cubic root of 214534953 is about 598.6403964574.

The spelling of 214534953 in words is "two hundred fourteen million, five hundred thirty-four thousand, nine hundred fifty-three".

Divisors: 1 3 9 27 29 87 261 311 783 881 933 2643 2799 7929 8397 9019 23787 25549 27057 76647 81171 229941 243513 273991 689823 821973 2465919 7397757 7945739 23837217 71511651 214534953