Search a number
-
+
22113430462260 = 22325592645978697
BaseRepresentation
bin1010000011100101011110…
…01010101101111100110100
32220022000121222201212112200
411001302233022231330310
510344301301144243020
6115010434131344500
74441433264400054
oct501625712557464
986260558655480
1022113430462260
117056287000005
122591893152130
13c45397975317
1456641d74b564
1528534b1ce590
hex141caf2adf34

22113430462260 has 144 divisors (see below), whose sum is σ = 68217755860800. Its totient is φ = 5796674330112.

The previous prime is 22113430462241. The next prime is 22113430462267. The reversal of 22113430462260 is 6226403431122.

22113430462260 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 34 + 304 + 62 + 260 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22113430462267) 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, 280955232 + ... + 281033928.

It is an arithmetic number, because the mean of its divisors is an integer number (473734415700).

Almost surely, 222113430462260 is an apocalyptic number.

22113430462260 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 22113430462260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34108877930400).

22113430462260 is an abundant number, since it is smaller than the sum of its proper divisors (46104325398540).

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

22113430462260 is a wasteful number, since it uses less digits than its factorization.

22113430462260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105230 (or 105225 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 22113430462260 its reverse (6226403431122), we get a palindrome (28339833893382).

The spelling of 22113430462260 in words is "twenty-two trillion, one hundred thirteen billion, four hundred thirty million, four hundred sixty-two thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 26459 52918 78697 79377 105836 132295 157394 158754 236091 238131 264590 314788 317508 393485 396885 472182 476262 529180 708273 786970 793770 944364 952524 1180455 1190655 1416546 1561081 1573940 1587540 2360910 2381310 2833092 3122162 3541365 4643123 4683243 4721820 4762620 6244324 7082730 7805405 9286246 9366486 13929369 14049729 14165460 15610810 18572492 18732972 23215615 23416215 27858738 28099458 31221620 41788107 46431230 46832430 55717476 56198916 69646845 70248645 83576214 92862460 93664860 139293690 140497290 167152428 208940535 278587380 280994580 417881070 835762140 2082243923 4164487846 6246731769 8328975692 10411219615 12493463538 18740195307 20822439230 24986927076 31233658845 37480390614 41644878460 62467317690 74960781228 93700976535 122852391457 124934635380 187401953070 245704782914 368557174371 374803906140 491409565828 614261957285 737114348742 1105671523113 1228523914570 1474228697484 1842785871855 2211343046226 2457047829140 3685571743710 4422686092452 5528357615565 7371143487420 11056715231130 22113430462260