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2133442140 = 2235672892
BaseRepresentation
bin111111100101001…
…1011111001011100
312111200110002102120
41333022123321130
513332130122030
6551411022540
7103603646634
oct17712337134
95450402376
102133442140
119a52aa725
124b659aa50
1327ccc97cb
141634b36c4
15c7471010
hex7f29be5c

2133442140 has 108 divisors (see below), whose sum is σ = 6133029336. Its totient is φ = 554129664.

The previous prime is 2133442133. The next prime is 2133442177. The reversal of 2133442140 is 412443312.

It is a self number, because there is not a number n which added to its sum of digits gives 2133442140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23971216 + ... + 23971304.

Almost surely, 22133442140 is an apocalyptic number.

2133442140 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 2133442140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066514668).

2133442140 is an abundant number, since it is smaller than the sum of its proper divisors (3999587196).

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

2133442140 is an equidigital number, since it uses as much as digits as its factorization.

2133442140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2133442140 is about 46189.1993868697. The cubic root of 2133442140 is about 1287.3410648691.

Adding to 2133442140 its reverse (412443312), we get a palindrome (2545885452).

The spelling of 2133442140 in words is "two billion, one hundred thirty-three million, four hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 89 134 178 201 267 268 335 356 402 445 534 670 804 890 1005 1068 1335 1340 1780 2010 2670 4020 4489 5340 5963 7921 8978 11926 13467 15842 17889 17956 22445 23763 23852 26934 29815 31684 35778 39605 44890 47526 53868 59630 67335 71556 79210 89445 89780 95052 118815 119260 134670 158420 178890 237630 269340 357780 399521 475260 530707 799042 1061414 1198563 1592121 1598084 1997605 2122828 2397126 2653535 3184242 3995210 4794252 5307070 5992815 6368484 7960605 7990420 10614140 11985630 15921210 23971260 31842420 35557369 71114738 106672107 142229476 177786845 213344214 355573690 426688428 533360535 711147380 1066721070 2133442140