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2133350340 = 2235116135273
BaseRepresentation
bin111111100101000…
…0101011111000100
312111200021102111120
41333022011133010
513332114202330
6551405033540
7103603115202
oct17712053704
95450242446
102133350340
119a5247760
124b65558b0
1327cc96aa4
1416348c072
15c7453c10
hex7f2857c4

2133350340 has 96 divisors (see below), whose sum is σ = 6528283776. Its totient is φ = 516234240.

The previous prime is 2133350221. The next prime is 2133350341. The reversal of 2133350340 is 430533312.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2133350340.

It is not an unprimeable number, because it can be changed into a prime (2133350341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401944 + ... + 407216.

It is an arithmetic number, because the mean of its divisors is an integer number (68002956).

Almost surely, 22133350340 is an apocalyptic number.

2133350340 is a gapful number since it is divisible by the number (20) 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 2133350340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3264141888).

2133350340 is an abundant number, since it is smaller than the sum of its proper divisors (4394933436).

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

2133350340 is a wasteful number, since it uses less digits than its factorization.

2133350340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5909 (or 5907 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 2133350340 is about 46188.2056373702. The cubic root of 2133350340 is about 1287.3226002476.

Adding to 2133350340 its reverse (430533312), we get a palindrome (2563883652).

The spelling of 2133350340 in words is "two billion, one hundred thirty-three million, three hundred fifty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 613 660 1226 1839 2452 3065 3678 5273 6130 6743 7356 9195 10546 12260 13486 15819 18390 20229 21092 26365 26972 31638 33715 36780 40458 52730 58003 63276 67430 79095 80916 101145 105460 116006 134860 158190 174009 202290 232012 290015 316380 348018 404580 580030 696036 870045 1160060 1740090 3232349 3480180 6464698 9697047 12929396 16161745 19394094 32323490 35555839 38788188 48485235 64646980 71111678 96970470 106667517 142223356 177779195 193940940 213335034 355558390 426670068 533337585 711116780 1066675170 2133350340