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232085204208 = 243311132288991
BaseRepresentation
bin1101100000100101011…
…0110010110011110000
3211012001102020221022000
43120021112302303300
512300302303013313
6254341331214000
722524200454264
oct3301126626360
9735042227260
10232085204208
118a477057aa0
1238b90a47300
1318b686c1700
14b3394440a4
156085191673
hex36095b2cf0

232085204208 has 240 divisors, whose sum is σ = 786936775680. Its totient is φ = 64918713600.

The previous prime is 232085204207. The next prime is 232085204227. The reversal of 232085204208 is 802402580232.

232085204208 is a `hidden beast` number, since 2 + 3 + 208 + 5 + 20 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232085204207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 658593 + ... + 947583.

It is an arithmetic number, because the mean of its divisors is an integer number (3278903232).

Almost surely, 2232085204208 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 232085204208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393468387840).

232085204208 is an abundant number, since it is smaller than the sum of its proper divisors (554851571472).

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

232085204208 is a wasteful number, since it uses less digits than its factorization.

232085204208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289045 (or 289020 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 232085204208 in words is "two hundred thirty-two billion, eighty-five million, two hundred four thousand, two hundred eight".