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3220006656 = 28359179397
BaseRepresentation
bin1011111111101101…
…0110011100000000
322022102000021201210
42333323112130000
523043310203111
61251303530120
7142536414336
oct27773263400
98272007653
103220006656
111402678729
1275a459940
133c4154ca9
14227915b56
1513ca510a6
hexbfed6700

3220006656 has 144 divisors (see below), whose sum is σ = 8785929600. Its totient is φ = 1046605824.

The previous prime is 3220006649. The next prime is 3220006661. The reversal of 3220006656 is 6566000223.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8110650 + ... + 8111046.

It is an arithmetic number, because the mean of its divisors is an integer number (61013400).

Almost surely, 23220006656 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 3220006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392964800).

3220006656 is an abundant number, since it is smaller than the sum of its proper divisors (5565922944).

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

3220006656 is a wasteful number, since it uses less digits than its factorization.

3220006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3220006656 is about 56745.1024847079. The cubic root of 3220006656 is about 1476.6772694018.

Adding to 3220006656 its reverse (6566000223), we get a palindrome (9786006879).

The spelling of 3220006656 in words is "three billion, two hundred twenty million, six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 179 192 236 256 354 358 384 397 472 537 708 716 768 794 944 1074 1191 1416 1432 1588 1888 2148 2382 2832 2864 3176 3776 4296 4764 5664 5728 6352 7552 8592 9528 10561 11328 11456 12704 15104 17184 19056 21122 22656 22912 23423 25408 31683 34368 38112 42244 45312 45824 46846 50816 63366 68736 70269 71063 76224 84488 93692 101632 126732 137472 140538 142126 152448 168976 187384 213189 253464 281076 284252 304896 337952 374768 426378 506928 562152 568504 675904 749536 852756 1013856 1124304 1137008 1351808 1499072 1705512 2027712 2248608 2274016 2703616 2998144 3411024 4055424 4192717 4497216 4548032 5996288 6822048 8110848 8385434 8994432 9096064 12578151 13644096 16770868 17988864 18192128 25156302 27288192 33541736 50312604 54576384 67083472 100625208 134166944 201250416 268333888 402500832 536667776 805001664 1073335552 1610003328 3220006656