Search a number
-
+
2132444310 = 2352337101827
BaseRepresentation
bin111111100011010…
…1000010010010110
312111121120101122220
41333012220102112
513331401204220
6551333403210
7103562322543
oct17706502226
95447511586
102132444310
119a4788a77
124b6199506
1327ca3a589
141632d3bca
15c7325540
hex7f1a8496

2132444310 has 128 divisors (see below), whose sum is σ = 5545718784. Its totient is φ = 523353600.

The previous prime is 2132444297. The next prime is 2132444323. The reversal of 2132444310 is 134442312.

It is an interprime number because it is at equal distance from previous prime (2132444297) and next prime (2132444323).

It is a super-2 number, since 2×21324443102 = 9094637470502752200, 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 63 ways as a sum of consecutive naturals, for example, 2578117 + ... + 2578943.

It is an arithmetic number, because the mean of its divisors is an integer number (43325928).

Almost surely, 22132444310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132444310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772859392).

2132444310 is an abundant number, since it is smaller than the sum of its proper divisors (3413274474).

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

2132444310 is a wasteful number, since it uses less digits than its factorization.

2132444310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998.

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

The square root of 2132444310 is about 46178.3965724233. The cubic root of 2132444310 is about 1287.1403332552.

Adding to 2132444310 its reverse (134442312), we get a palindrome (2266886622).

The spelling of 2132444310 in words is "two billion, one hundred thirty-two million, four hundred forty-four thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 37 46 69 74 101 111 115 138 185 202 222 230 303 345 370 505 555 606 690 827 851 1010 1110 1515 1654 1702 2323 2481 2553 3030 3737 4135 4255 4646 4962 5106 6969 7474 8270 8510 11211 11615 12405 12765 13938 18685 19021 22422 23230 24810 25530 30599 34845 37370 38042 56055 57063 61198 69690 83527 85951 91797 95105 112110 114126 152995 167054 171902 183594 190210 250581 257853 285315 305990 417635 429755 458985 501162 515706 570630 703777 835270 859510 917970 1252905 1289265 1407554 1921121 2111331 2505810 2578530 3090499 3518885 3842242 4222662 5763363 6180998 7037770 9271497 9605605 10556655 11526726 15452495 18542994 19211210 21113310 28816815 30904990 46357485 57633630 71081477 92714970 142162954 213244431 355407385 426488862 710814770 1066222155 2132444310