Search a number
-
+
4222313431110 = 234519371973771
BaseRepresentation
bin111101011100010101011…
…111100000000001000110
3112221122112021122010120000
4331130111133200001012
51023134244214243420
612551412022222130
7614023601665125
oct75342537400106
915848467563500
104222313431110
111388744946925
12582390284946
13248215b8ab88
1410850aa6dabc
1574c73321690
hex3d7157e0046

4222313431110 has 160 divisors (see below), whose sum is σ = 11954250950400. Its totient is φ = 1066388431680.

The previous prime is 4222313431081. The next prime is 4222313431199. The reversal of 4222313431110 is 111343132224.

4222313431110 is a `hidden beast` number, since 4 + 2 + 22 + 313 + 4 + 311 + 10 = 666.

It is a super-3 number, since 3×42223134311103 (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57198525 + ... + 57272295.

It is an arithmetic number, because the mean of its divisors is an integer number (74714068440).

Almost surely, 24222313431110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4222313431110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5977125475200).

4222313431110 is an abundant number, since it is smaller than the sum of its proper divisors (7731937519290).

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

4222313431110 is a wasteful number, since it uses less digits than its factorization.

4222313431110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77528 (or 77519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 4222313431110 its reverse (111343132224), we get a palindrome (4333656563334).

The spelling of 4222313431110 in words is "four trillion, two hundred twenty-two billion, three hundred thirteen million, four hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 3078 3719 5130 7438 7695 11157 15390 18595 22314 33471 37190 55785 66942 70661 73771 100413 111570 141322 147542 167355 200826 211983 221313 301239 334710 353305 368855 423966 442626 502065 602478 635949 663939 706610 737710 1004130 1059915 1106565 1271898 1327878 1401649 1506195 1907847 1991817 2119830 2213130 2803298 3012390 3179745 3319695 3815694 3983634 4204947 5723541 5975451 6359490 6639390 7008245 8409894 9539235 9959085 11447082 11950902 12614841 14016490 19078470 19918170 21024735 25229682 28617705 29877255 37844523 42049470 57235410 59754510 63074205 75689046 113533569 126148410 189222615 227067138 274354349 378445230 548708698 567667845 823063047 1135335690 1371771745 1646126094 2469189141 2743543490 4115315235 4938378282 5212732631 7407567423 8230630470 10425465262 12345945705 14815134846 15638197893 22222702269 24691891410 26063663155 31276395786 37037837115 44445404538 46914593679 52127326310 74075674230 78190989465 93829187358 111113511345 140743781037 156381978930 222227022690 234572968395 281487562074 422231343111 469145936790 703718905185 844462686222 1407437810370 2111156715555 4222313431110