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209129892 = 223235711327
BaseRepresentation
bin11000111011100…
…01000110100100
3112120111220021120
430131301012210
5412014124032
632430213540
75116401066
oct1435610644
9476456246
10209129892
11a8059424
125a0542b0
1334432aca
141dabb736
151355e62c
hexc7711a4

209129892 has 48 divisors (see below), whose sum is σ = 510461952. Its totient is φ = 66512160.

The previous prime is 209129857. The next prime is 209129897. The reversal of 209129892 is 298921902.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (209129897) 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 15 ways as a sum of consecutive naturals, for example, 156933 + ... + 158259.

It is an arithmetic number, because the mean of its divisors is an integer number (10634624).

Almost surely, 2209129892 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209129892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255230976).

209129892 is an abundant number, since it is smaller than the sum of its proper divisors (301332060).

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

209129892 is a wasteful number, since it uses less digits than its factorization.

209129892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 209129892 is about 14461.3240057749. The cubic root of 209129892 is about 593.5701296412.

The spelling of 209129892 in words is "two hundred nine million, one hundred twenty-nine thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 571 1142 1327 1713 2284 2654 3426 3981 5308 6852 7962 13133 15924 26266 30521 39399 52532 61042 78798 91563 122084 157596 183126 366252 757717 1515434 2273151 3030868 4546302 9092604 17427491 34854982 52282473 69709964 104564946 209129892