Search a number
-
+
2330234213104 = 247314316019749
BaseRepresentation
bin100001111010001100110…
…010000101001011110000
322020202202000210001001201
4201322030302011023300
5301134304424304404
64542254514140544
7330232243000330
oct41721462051360
98222660701051
102330234213104
11819279511966
12317746881754
1313b981130bb5
1480ad91a70c0
1540934b2bca4
hex21e8cc852f0

2330234213104 has 160 divisors (see below), whose sum is σ = 5454079488000. Its totient is φ = 943294464000.

The previous prime is 2330234213101. The next prime is 2330234213113. The reversal of 2330234213104 is 4013124320332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2330234213101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239018022 + ... + 239027770.

It is an arithmetic number, because the mean of its divisors is an integer number (34087996800).

Almost surely, 22330234213104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2330234213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727039744000).

2330234213104 is an abundant number, since it is smaller than the sum of its proper divisors (3123845274896).

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

2330234213104 is a wasteful number, since it uses less digits than its factorization.

2330234213104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11439 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2330234213104 its reverse (4013124320332), we get a palindrome (6343358533436).

The spelling of 2330234213104 in words is "two trillion, three hundred thirty billion, two hundred thirty-four million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 31 43 56 62 86 112 124 172 217 248 301 344 434 496 602 688 868 1204 1333 1601 1736 2408 2666 3202 3472 4816 5332 6404 9331 9749 10664 11207 12808 18662 19498 21328 22414 25616 37324 38996 44828 49631 68243 68843 74648 77992 89656 99262 136486 137686 149296 155984 179312 198524 272972 275372 302219 347417 397048 419207 481901 545944 550744 604438 694834 794096 838414 963802 1091888 1101488 1208876 1389668 1676828 1927604 2115533 2134133 2417752 2779336 2934449 3353656 3855208 4231066 4268266 4835504 5558672 5868898 6707312 7710416 8462132 8536532 11737796 12995417 14938931 15608149 16924264 17073064 23475592 25990834 29877862 31216298 33848528 34146128 46951184 51981668 59755724 62432596 90967919 103963336 109257043 119511448 124865192 181935838 207926672 218514086 239022896 249730384 363871676 437028172 483852619 671150407 727743352 874056344 967705238 1342300814 1455486704 1748112688 1935410476 2684601628 3386968333 3870820952 4698052849 5369203256 6773936666 7741641904 9396105698 10738406512 13547873332 18792211396 20805662617 27095746664 37584422792 41611325234 54191493328 75168845584 83222650468 145639638319 166445300936 291279276638 332890601872 582558553276 1165117106552 2330234213104