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2133334350 = 2325273891741
BaseRepresentation
bin111111100101000…
…0001100101001110
312111200020121120100
41333022001211032
513332113144400
6551404431530
7103603020450
oct17712014516
95450217510
102133334350
119a5236744
124b65485a6
1327cc8c724
141634862d0
15c744e100
hex7f28194e

2133334350 has 144 divisors (see below), whose sum is σ = 6570963360. Its totient is φ = 486086400.

The previous prime is 2133334339. The next prime is 2133334381. The reversal of 2133334350 is 534333312.

It is a happy number.

2133334350 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×21333343502 = 9102230897779845000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1224480 + ... + 1226220.

It is an arithmetic number, because the mean of its divisors is an integer number (45631690).

Almost surely, 22133334350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2133334350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3285481680).

2133334350 is an abundant number, since it is smaller than the sum of its proper divisors (4437629010).

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

2133334350 is a wasteful number, since it uses less digits than its factorization.

2133334350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

The square root of 2133334350 is about 46188.0325409083. The cubic root of 2133334350 is about 1287.3193839702.

Adding to 2133334350 its reverse (534333312), we get a palindrome (2667667662).

The spelling of 2133334350 in words is "two billion, one hundred thirty-three million, three hundred thirty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 389 450 525 630 778 1050 1167 1575 1741 1945 2334 2723 3150 3482 3501 3890 5223 5446 5835 7002 8169 8705 9725 10446 11670 12187 13615 15669 16338 17410 17505 19450 24374 24507 26115 27230 29175 31338 35010 36561 40845 43525 49014 52230 58350 60935 68075 73122 78345 81690 87050 87525 109683 121870 122535 130575 136150 156690 175050 182805 204225 219366 245070 261150 304675 365610 391725 408450 548415 609350 612675 677249 783450 914025 1096830 1225350 1354498 1828050 2031747 2742075 3386245 4063494 4740743 5484150 6095241 6772490 9481486 10158735 12190482 14222229 16931225 20317470 23703715 28444458 30476205 33862450 42666687 47407430 50793675 60952410 71111145 85333374 101587350 118518575 142222290 152381025 213333435 237037150 304762050 355555725 426666870 711111450 1066667175 2133334350