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3220213220 = 2257531972203
BaseRepresentation
bin1011111111110000…
…1000110111100100
322022102101210002022
42333330020313210
523043333310340
61251312202312
7142541234510
oct27774106744
98272353068
103220213220
1114027a9944
1275a539398
133c41c8013
1422796b140
1513ca923b5
hexbff08de4

3220213220 has 96 divisors (see below), whose sum is σ = 7917896448. Its totient is φ = 1077253632.

The previous prime is 3220213211. The next prime is 3220213223. The reversal of 3220213220 is 223120223.

It is not an unprimeable number, because it can be changed into a prime (3220213223) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1460639 + ... + 1462841.

It is an arithmetic number, because the mean of its divisors is an integer number (82478088).

Almost surely, 23220213220 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 3220213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958948224).

3220213220 is an abundant number, since it is smaller than the sum of its proper divisors (4697683228).

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

3220213220 is a wasteful number, since it uses less digits than its factorization.

3220213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3220213220 is about 56746.9225597301. The cubic root of 3220213220 is about 1476.7088450965.

Adding to 3220213220 its reverse (223120223), we get a palindrome (3443333443).

The spelling of 3220213220 in words is "three billion, two hundred twenty million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 197 212 265 371 394 530 742 788 985 1060 1379 1484 1855 1970 2203 2758 3710 3940 4406 5516 6895 7420 8812 10441 11015 13790 15421 20882 22030 27580 30842 41764 44060 52205 61684 73087 77105 104410 116759 146174 154210 208820 233518 292348 308420 365435 433991 467036 583795 730870 817313 867982 1167590 1461740 1634626 1735964 2169955 2335180 3037937 3269252 4086565 4339910 6075874 8173130 8679820 12151748 15189685 16346260 23001523 30379370 46003046 60758740 92006092 115007615 161010661 230015230 322021322 460030460 644042644 805053305 1610106610 3220213220