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232090971840 = 263657132292
BaseRepresentation
bin1101100000100110110…
…0110010111011000000
3211012001211002222000000
43120021230302323000
512300310242044330
6254342055000000
722524300465450
oct3301154627300
9735054088000
10232090971840
118a47a337332
1238b92969000
1318b69960a00
14b33a105d60
156085930560
hex3609b32ec0

232090971840 has 1764 divisors, whose sum is σ = 1062024082704. Its totient is φ = 47280070656.

The previous prime is 232090971793. The next prime is 232090971841. The reversal of 232090971840 is 48179090232.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (232090971841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 8003136946 + ... + 8003136974.

Almost surely, 2232090971840 is an apocalyptic number.

232090971840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232090971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531012041352).

232090971840 is an abundant number, since it is smaller than the sum of its proper divisors (829933110864).

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

232090971840 is an equidigital number, since it uses as much as digits as its factorization.

232090971840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 232090971840 in words is "two hundred thirty-two billion, ninety million, nine hundred seventy-one thousand, eight hundred forty".