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3221000000 = 26563221
BaseRepresentation
bin1011111111111100…
…1000111101000000
322022110212202100022
42333333020331000
523044034000000
61251341113012
7142551022361
oct27777107500
98273782308
103221000000
111403196a79
1275a858768
133c441217a
14227ad3b68
1513cb9a585
hexbffc8f40

3221000000 has 98 divisors (see below), whose sum is σ = 7991968014. Its totient is φ = 1288000000.

The previous prime is 3220999993. The next prime is 3221000051. The reversal of 3221000000 is 1223.

It can be written as a sum of positive squares in 7 ways, for example, as 3181862464 + 39137536 = 56408^2 + 6256^2 .

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

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 998390 + ... + 1001610.

Almost surely, 23221000000 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 3221000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3995984007).

3221000000 is an abundant number, since it is smaller than the sum of its proper divisors (4770968014).

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

3221000000 is an frugal number, since it uses more digits than its factorization.

3221000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3228 counting only the distinct ones).

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

The square root of 3221000000 is about 56753.8544946508. The cubic root of 3221000000 is about 1476.8291011475.

Adding to 3221000000 its reverse (1223), we get a palindrome (3221001223).

The spelling of 3221000000 in words is "three billion, two hundred twenty-one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 3221 4000 5000 6250 6442 8000 10000 12500 12884 15625 16105 20000 25000 25768 31250 32210 40000 50000 51536 62500 64420 80525 100000 103072 125000 128840 161050 200000 206144 250000 257680 322100 402625 500000 515360 644200 805250 1000000 1030720 1288400 1610500 2013125 2576800 3221000 4026250 5153600 6442000 8052500 10065625 12884000 16105000 20131250 25768000 32210000 40262500 50328125 64420000 80525000 100656250 128840000 161050000 201312500 322100000 402625000 644200000 805250000 1610500000 3221000000