Search a number
-
+
3322100032 = 2679765129
BaseRepresentation
bin1100011000000011…
…0011100101000000
322120112010011111221
43012000303211000
523300424200112
61305352044424
7145216245556
oct30600634500
98515104457
103322100032
111455269a19
12788693714
1340c34c584
142372cdbd6
151469bae07
hexc6033940

3322100032 has 28 divisors (see below), whose sum is σ = 6600664980. Its totient is φ = 1658940416.

The previous prime is 3322099981. The next prime is 3322100039. The reversal of 3322100032 is 2300012233.

It can be written as a sum of positive squares in 2 ways, for example, as 856381696 + 2465718336 = 29264^2 + 49656^2 .

It is a super-2 number, since 2×33221000322 = 22072697245228802048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3322099979 and 3322100015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3322100039) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 18444 + ... + 83572.

It is an arithmetic number, because the mean of its divisors is an integer number (235738035).

Almost surely, 23322100032 is an apocalyptic number.

3322100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3322100032 is a deficient number, since it is larger than the sum of its proper divisors (3278564948).

3322100032 is an equidigital number, since it uses as much as digits as its factorization.

3322100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65938 (or 65928 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3322100032 is about 57637.6615764380. The cubic root of 3322100032 is about 1492.1216613339.

Adding to 3322100032 its reverse (2300012233), we get a palindrome (5622112265).

The spelling of 3322100032 in words is "three billion, three hundred twenty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 797 1594 3188 6376 12752 25504 51008 65129 130258 260516 521032 1042064 2084128 4168256 51907813 103815626 207631252 415262504 830525008 1661050016 3322100032