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2210201334 = 23211191493943
BaseRepresentation
bin1000001110111100…
…1111111011110110
312201000212212020200
42003233033323312
514011302420314
61003152141330
7105525254445
oct20357177366
95630785220
102210201334
11a34667a80
12518237846
13292b93a53
1416d774d5c
15ce084709
hex83bcfef6

2210201334 has 96 divisors (see below), whose sum is σ = 5537376000. Its totient is φ = 630089280.

The previous prime is 2210201299. The next prime is 2210201341. The reversal of 2210201334 is 4331020122.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 558567 + ... + 562509.

It is an arithmetic number, because the mean of its divisors is an integer number (57681000).

Almost surely, 22210201334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210201334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768688000).

2210201334 is an abundant number, since it is smaller than the sum of its proper divisors (3327174666).

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

2210201334 is a wasteful number, since it uses less digits than its factorization.

2210201334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4130 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2210201334 is about 47012.7784118318. The cubic root of 2210201334 is about 1302.5986154877.

Adding to 2210201334 its reverse (4331020122), we get a palindrome (6541221456).

The spelling of 2210201334 in words is "two billion, two hundred ten million, two hundred one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 149 171 198 209 298 342 418 447 627 894 1254 1341 1639 1881 2682 2831 3278 3762 3943 4917 5662 7886 8493 9834 11829 14751 16986 23658 25479 29502 31141 35487 43373 50958 62282 70974 74917 86746 93423 130119 149834 186846 224751 260238 280269 390357 449502 560538 587507 674253 780714 824087 1175014 1348506 1648174 1762521 2472261 3525042 4944522 5287563 6462577 7416783 10575126 11162633 12925154 14833566 19387731 22325266 33487899 38775462 58163193 66975798 100463697 116326386 122788963 200927394 245577926 368366889 736733778 1105100667 2210201334