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3212230323232 = 257172932879003
BaseRepresentation
bin101110101111100111110…
…110001110110000100000
3102101002022212001202101001
4232233213312032300200
5410112121430320412
610455402255521344
7451035030145120
oct56574766166040
912332285052331
103212230323232
111029332302827
1243a675529254
131a3bb1927018
14b168942cc80
1558856782957
hex2ebe7d8ec20

3212230323232 has 96 divisors (see below), whose sum is σ = 7678787340672. Its totient is φ = 1291266945024.

The previous prime is 3212230323209. The next prime is 3212230323233. The reversal of 3212230323232 is 2323230322123.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3212230323232.

It is not an unprimeable number, because it can be changed into a prime (3212230323233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323758 + ... + 2555245.

It is an arithmetic number, because the mean of its divisors is an integer number (79987368132).

Almost surely, 23212230323232 is an apocalyptic number.

3212230323232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3212230323232 is an abundant number, since it is smaller than the sum of its proper divisors (4466557017440).

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

3212230323232 is a wasteful number, since it uses less digits than its factorization.

3212230323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879330 (or 2879322 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 28.

Adding to 3212230323232 its reverse (2323230322123), we get a palindrome (5535460645355).

The spelling of 3212230323232 in words is "three trillion, two hundred twelve billion, two hundred thirty million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 293 476 544 586 952 1172 1904 2051 2344 3808 4102 4688 4981 8204 9376 9962 16408 19924 32816 34867 39848 65632 69734 79696 139468 159392 278936 557872 1115744 2879003 5758006 11516012 20153021 23032024 40306042 46064048 48943051 80612084 92128096 97886102 161224168 195772204 322448336 342601357 391544408 644896672 685202714 783088816 843547879 1370405428 1566177632 1687095758 2740810856 3374191516 5481621712 5904835153 6748383032 10963243424 11809670306 13496766064 14340313943 23619340612 26993532128 28680627886 47238681224 57361255772 94477362448 100382197601 114722511544 188954724896 200764395202 229445023088 401528790404 458890046176 803057580808 1606115161616 3212230323232