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214102632 = 2338920943
BaseRepresentation
bin11001100001011…
…11001001101000
3112220212112121010
430300233021220
5414302241012
633124543520
75206561632
oct1460571150
9486775533
10214102632
11aa945527
125b851ba0
1335484363
1420613a52
1513be2c3c
hexcc2f268

214102632 has 16 divisors (see below), whose sum is σ = 535256640. Its totient is φ = 71367536.

The previous prime is 214102597. The next prime is 214102639. The reversal of 214102632 is 236201412.

It is a junction number, because it is equal to n+sod(n) for n = 214102599 and 214102608.

It is not an unprimeable number, because it can be changed into a prime (214102639) 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 3 ways as a sum of consecutive naturals, for example, 4460448 + ... + 4460495.

It is an arithmetic number, because the mean of its divisors is an integer number (33453540).

Almost surely, 2214102632 is an apocalyptic number.

It is an amenable number.

214102632 is an abundant number, since it is smaller than the sum of its proper divisors (321154008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214102632 is a wasteful number, since it uses less digits than its factorization.

214102632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920952 (or 8920948 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 214102632 is about 14632.2463073856. The cubic root of 214102632 is about 598.2380084860.

It can be divided in two parts, 21410 and 2632, that added together give a palindrome (24042).

The spelling of 214102632 in words is "two hundred fourteen million, one hundred two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 8920943 17841886 26762829 35683772 53525658 71367544 107051316 214102632