Search a number
-
+
2231513410360 = 2351331943714669
BaseRepresentation
bin100000011110010000100…
…100000110101100111000
321220022221000011122120011
4200132100210012230320
5243030114413112420
64425050524511304
7320135661011023
oct40362044065470
97808830148504
102231513410360
1179041a165683
123005953ab534
1313257a654810
147a011db01ba
153d0a7d7395a
hex20790906b38

2231513410360 has 128 divisors (see below), whose sum is σ = 5582524147200. Its totient is φ = 797225748480.

The previous prime is 2231513410303. The next prime is 2231513410363. The reversal of 2231513410360 is 630143151322.

It is a super-3 number, since 3×22315134103603 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231513410363) 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, 152117106 + ... + 152131774.

It is an arithmetic number, because the mean of its divisors is an integer number (43613469900).

Almost surely, 22231513410360 is an apocalyptic number.

2231513410360 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 2231513410360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791262073600).

2231513410360 is an abundant number, since it is smaller than the sum of its proper divisors (3351010736840).

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

2231513410360 is a wasteful number, since it uses less digits than its factorization.

2231513410360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24161 (or 24157 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 2231513410360 its reverse (630143151322), we get a palindrome (2861656561682).

The spelling of 2231513410360 in words is "two trillion, two hundred thirty-one billion, five hundred thirteen million, four hundred ten thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 104 124 130 155 248 260 310 403 520 620 806 1240 1612 2015 3224 4030 8060 9437 14669 16120 18874 29338 37748 47185 58676 73345 75496 94370 117352 122681 146690 188740 190697 245362 292547 293380 377480 381394 454739 490724 585094 586760 613405 762788 909478 953485 981448 1170188 1226810 1462735 1525576 1818956 1906970 2273695 2340376 2453620 2925470 3637912 3803111 3813940 4547390 4907240 5850940 5911607 7606222 7627880 9094780 11701880 11823214 15212444 18189560 19015555 23646428 29558035 30424888 38031110 47292856 59116070 76062220 118232140 138431353 152124440 236464280 276862706 553725412 692156765 1107450824 1384313530 1799607589 2768627060 3599215178 4291371943 5537254120 7198430356 8582743886 8998037945 14396860712 17165487772 17996075890 21456859715 34330975544 35992151780 42913719430 55787835259 71984303560 85827438860 111575670518 171654877720 223151341036 278939176295 446302682072 557878352590 1115756705180 2231513410360