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3201212220 = 2235239712389
BaseRepresentation
bin1011111011001110…
…1001111100111100
322021002122102121120
42332303221330330
523024002242340
61245353030540
7142220566143
oct27663517474
98232572546
103201212220
1113a3001138
127540b5450
133c02a451b
1422522275a
1513b08c4d0
hexbece9f3c

3201212220 has 96 divisors (see below), whose sum is σ = 9366658560. Its totient is φ = 815358720.

The previous prime is 3201212219. The next prime is 3201212221. The reversal of 3201212220 is 222121023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3201212219) and next prime (3201212221).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3201212220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201212221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1338786 + ... + 1341174.

It is an arithmetic number, because the mean of its divisors is an integer number (97569360).

Almost surely, 23201212220 is an apocalyptic number.

3201212220 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 3201212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683329280).

3201212220 is an abundant number, since it is smaller than the sum of its proper divisors (6165446340).

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

3201212220 is a wasteful number, since it uses less digits than its factorization.

3201212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3201212220 is about 56579.2560926706. The cubic root of 3201212220 is about 1473.7986533255.

Adding to 3201212220 its reverse (222121023), we get a palindrome (3423333243).

The spelling of 3201212220 in words is "three billion, two hundred one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 971 1380 1942 2389 2913 3884 4778 4855 5826 7167 9556 9710 11652 11945 14334 14565 19420 22333 23890 28668 29130 35835 44666 47780 54947 58260 66999 71670 89332 109894 111665 133998 143340 164841 219788 223330 267996 274735 329682 334995 446660 549470 659364 669990 824205 1098940 1339980 1648410 2319719 3296820 4639438 6959157 9278876 11598595 13918314 23197190 27836628 34795785 46394380 53353537 69591570 106707074 139183140 160060611 213414148 266767685 320121222 533535370 640242444 800303055 1067070740 1600606110 3201212220