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212136008 = 23718672029
BaseRepresentation
bin11001010010011…
…11000001001000
3112210011121220012
430221033001020
5413301323013
633014451052
75154061220
oct1451170110
9483147805
10212136008
11a9821a17
125b063a88
1334c46186
1420261080
15139551a8
hexca4f048

212136008 has 32 divisors (see below), whose sum is σ = 455044800. Its totient is φ = 90821952.

The previous prime is 212135983. The next prime is 212136011. The reversal of 212136008 is 800631212.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103538 + ... + 105566.

It is an arithmetic number, because the mean of its divisors is an integer number (14220150).

Almost surely, 2212136008 is an apocalyptic number.

212136008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212136008 is an abundant number, since it is smaller than the sum of its proper divisors (242908792).

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

212136008 is a wasteful number, since it uses less digits than its factorization.

212136008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3909 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 212136008 is about 14564.8895636047. The cubic root of 212136008 is about 596.4006809761.

The spelling of 212136008 in words is "two hundred twelve million, one hundred thirty-six thousand, eight".

Divisors: 1 2 4 7 8 14 28 56 1867 2029 3734 4058 7468 8116 13069 14203 14936 16232 26138 28406 52276 56812 104552 113624 3788143 7576286 15152572 26517001 30305144 53034002 106068004 212136008