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3212000000 = 28561173
BaseRepresentation
bin1011111101110011…
…0011101100000000
322021211221111122222
42333130303230000
523034233000000
61250420150212
7142411356326
oct27734635400
98254844588
103212000000
1113a90aa160
12757838368
133c25b0821
1422682dd16
1513bebda85
hexbf733b00

3212000000 has 252 divisors, whose sum is σ = 8862542808. Its totient is φ = 1152000000.

The previous prime is 3211999997. The next prime is 3212000047. The reversal of 3212000000 is 2123.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 43999964 + ... + 44000036.

Almost surely, 23212000000 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 3212000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4431271404).

3212000000 is an abundant number, since it is smaller than the sum of its proper divisors (5650542808).

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

3212000000 is an frugal number, since it uses more digits than its factorization.

3212000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3212000000 is about 56674.5092612190. The cubic root of 3212000000 is about 1475.4523174707.

Adding to 3212000000 its reverse (2123), we get a palindrome (3212002123).

The spelling of 3212000000 in words is "three billion, two hundred twelve million", and thus it is an aban number.