Search a number
-
+
2302314214230 = 2325232027548707
BaseRepresentation
bin100001100000001100100…
…111101111001101010110
322011002200020101010211100
4201200030213233031112
5300210114414323410
64521400223450530
7325223330632602
oct41401447571526
98132606333740
102302314214230
11808451397528
12312254456a46
13139151973bc4
147d60b0c0502
153ed4d9198c0
hex2180c9ef356

2302314214230 has 96 divisors (see below), whose sum is σ = 6249371491584. Its totient is φ = 586966171968.

The previous prime is 2302314214223. The next prime is 2302314214237. The reversal of 2302314214230 is 324124132032.

2302314214230 is a `hidden beast` number, since 2 + 3 + 0 + 2 + 3 + 1 + 421 + 4 + 230 = 666.

It is an interprime number because it is at equal distance from previous prime (2302314214223) and next prime (2302314214237).

It is a super-3 number, since 3×23023142142303 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2302314214194 and 2302314214203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2302314214237) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3921537 + ... + 4470243.

It is an arithmetic number, because the mean of its divisors is an integer number (65097619704).

Almost surely, 22302314214230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2302314214230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124685745792).

2302314214230 is an abundant number, since it is smaller than the sum of its proper divisors (3947057277354).

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

2302314214230 is a wasteful number, since it uses less digits than its factorization.

2302314214230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550770 (or 550767 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2302314214230 its reverse (324124132032), we get a palindrome (2626438346262).

The spelling of 2302314214230 in words is "two trillion, three hundred two billion, three hundred fourteen million, two hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 2027 2070 4054 6081 10135 12162 18243 20270 30405 36486 46621 60810 91215 93242 139863 182430 233105 279726 419589 466210 548707 699315 839178 1097414 1398630 1646121 2097945 2743535 3292242 4195890 4938363 5487070 8230605 9876726 12620261 16461210 24691815 25240522 37860783 49383630 63101305 75721566 113582349 126202610 189303915 227164698 378607830 567911745 1112229089 1135823490 2224458178 3336687267 5561145445 6673374534 10010061801 11122290890 16683436335 20020123602 25581269047 33366872670 50050309005 51162538094 76743807141 100100618010 127906345235 153487614282 230231421423 255812690470 383719035705 460462842846 767438071410 1151157107115 2302314214230