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2214123244340 = 2257216731343223
BaseRepresentation
bin100000001110000100000…
…001111000101100110100
321211200001001111200111012
4200032010001320230310
5242234011022304330
64413053145131352
7315652016023400
oct40160401705464
97750031450435
102214123244340
11784005938547
122b9141489b58
13130a38883c57
147924256a100
153c8db2cbc95
hex20384078b34

2214123244340 has 144 divisors (see below), whose sum is σ = 5458684960512. Its totient is φ = 752154084864.

The previous prime is 2214123244303. The next prime is 2214123244343. The reversal of 2214123244340 is 434423214122.

It is a happy number.

It is a super-2 number, since 2×22141232443402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2214123244297 and 2214123244306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2214123244343) 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, 51203969 + ... + 51247191.

It is an arithmetic number, because the mean of its divisors is an integer number (37907534448).

Almost surely, 22214123244340 is an apocalyptic number.

2214123244340 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 2214123244340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729342480256).

2214123244340 is an abundant number, since it is smaller than the sum of its proper divisors (3244561716172).

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

2214123244340 is a wasteful number, since it uses less digits than its factorization.

2214123244340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43726 (or 43717 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2214123244340 its reverse (434423214122), we get a palindrome (2648546458462).

The spelling of 2214123244340 in words is "two trillion, two hundred fourteen billion, one hundred twenty-three million, two hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 167 196 245 313 334 490 626 668 835 980 1169 1252 1565 1670 2191 2338 3130 3340 4382 4676 5845 6260 8183 8764 10955 11690 15337 16366 21910 23380 30674 32732 40915 43223 43820 52271 61348 76685 81830 86446 104542 153370 163660 172892 209084 216115 261355 302561 306740 365897 432230 522710 605122 731794 864460 1045420 1210244 1463588 1512805 1829485 2117927 2561279 3025610 3658970 4235854 5122558 6051220 7218241 7317940 8471708 10245116 10589635 12806395 13528799 14436482 21179270 25612790 27057598 28872964 36091205 42358540 50527687 51225580 54115196 67643995 72182410 94701593 101055374 135287990 144364820 189403186 202110748 252638435 270575980 353693809 378806372 473507965 505276870 662911151 707387618 947015930 1010553740 1325822302 1414775236 1768469045 1894031860 2259309433 2651644604 3314555755 3536938090 4518618866 6629111510 7073876180 9037237732 11296547165 13258223020 15815166031 22593094330 31630332062 45186188660 63260664124 79075830155 110706162217 158151660310 221412324434 316303320620 442824648868 553530811085 1107061622170 2214123244340