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232201200000 = 273557211359
BaseRepresentation
bin1101100001000001000…
…1010010000110000000
3211012100111112010121110
43120100101102012000
512301022001400000
6254401033323320
722530106430400
oct3302021220600
9735314463543
10232201200000
118a526584390
1239003866540
1318b86745b83
14b34a9da800
156090455850
hex3610452180

232201200000 has 1152 divisors, whose sum is σ = 981049708800. Its totient is φ = 48115200000.

The previous prime is 232201199969. The next prime is 232201200017. The reversal of 232201200000 is 2102232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 646799821 + ... + 646800179.

It is an arithmetic number, because the mean of its divisors is an integer number (851605650).

Almost surely, 2232201200000 is an apocalyptic number.

232201200000 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 232201200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490524854400).

232201200000 is an abundant number, since it is smaller than the sum of its proper divisors (748848508800).

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

232201200000 is an equidigital number, since it uses as much as digits as its factorization.

232201200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 232201200000 its reverse (2102232), we get a palindrome (232203302232).

The spelling of 232201200000 in words is "two hundred thirty-two billion, two hundred one million, two hundred thousand".