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3220832256 = 21738191
BaseRepresentation
bin1011111111111010…
…0000000000000000
322022110120020020120
42333332200000000
523044013113011
61251333340240
7142546423335
oct27776400000
98273506216
103220832256
111403091a44
1275a797680
133c4383a05
14227a8c98c
1513cb65a06
hexbffa0000

3220832256 has 72 divisors (see below), whose sum is σ = 8589901824. Its totient is φ = 1073479680.

The previous prime is 3220832233. The next prime is 3220832273. The reversal of 3220832256 is 6522380223.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 389121 + ... + 397311.

It is an arithmetic number, because the mean of its divisors is an integer number (119304192).

Almost surely, 23220832256 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 3220832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294950912).

3220832256 is an abundant number, since it is smaller than the sum of its proper divisors (5369069568).

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

3220832256 is an frugal number, since it uses more digits than its factorization.

3220832256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3220832256 is about 56752.3766550794. The cubic root of 3220832256 is about 1476.8034638173.

The spelling of 3220832256 in words is "three billion, two hundred twenty million, eight hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8191 8192 12288 16382 16384 24573 24576 32764 32768 49146 49152 65528 65536 98292 98304 131056 131072 196584 196608 262112 393168 393216 524224 786336 1048448 1572672 2096896 3145344 4193792 6290688 8387584 12581376 16775168 25162752 33550336 50325504 67100672 100651008 134201344 201302016 268402688 402604032 536805376 805208064 1073610752 1610416128 3220832256