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3220860060 = 22325112956093
BaseRepresentation
bin1011111111111010…
…0110110010011100
322022110121122101100
42333332212302130
523044020010220
61251334113100
7142546600365
oct27776466234
98273548340
103220860060
111403100920
1275a7ab790
133c4393572
14227a98b6c
1513cb6dd90
hexbffa6c9c

3220860060 has 144 divisors (see below), whose sum is σ = 11025836640. Its totient is φ = 753876480.

The previous prime is 3220860059. The next prime is 3220860061. The reversal of 3220860060 is 600680223.

3220860060 is a `hidden beast` number, since 32 + 20 + 8 + 600 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3220860059) and next prime (3220860061).

It is a super-2 number, since 2×32208600602 = 20747879052206407200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220860061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29374 + ... + 85466.

It is an arithmetic number, because the mean of its divisors is an integer number (76568310).

Almost surely, 23220860060 is an apocalyptic number.

3220860060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3220860060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512918320).

3220860060 is an abundant number, since it is smaller than the sum of its proper divisors (7804976580).

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

3220860060 is a wasteful number, since it uses less digits than its factorization.

3220860060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56148 (or 56143 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3220860060 is about 56752.6216134550. The cubic root of 3220860060 is about 1476.8077133323.

The spelling of 3220860060 in words is "three billion, two hundred twenty million, eight hundred sixty thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 56093 57420 112186 168279 224372 280465 336558 504837 560930 617023 673116 841395 1009674 1121860 1234046 1626697 1682790 1851069 2019348 2468092 2524185 3085115 3253394 3365580 3702138 4880091 5048370 5553207 6170230 6506788 7404276 8133485 9255345 9760182 10096740 11106414 12340460 14640273 16266970 17893667 18510690 19520364 22212828 24400455 27766035 29280546 32533940 35787334 37021380 48800910 53681001 55532070 58561092 71574668 73201365 89468335 97601820 107362002 111064140 146402730 161043003 178936670 214724004 268405005 292805460 322086006 357873340 536810010 644172012 805215015 1073620020 1610430030 3220860060