Search a number
-
+
1222241112 = 2332172151389
BaseRepresentation
bin100100011011001…
…1110101101011000
310011011212021121100
41020312132231120
510000343203422
6321140511400
742200610111
oct11066365530
93134767540
101222241112
11577a17924
122a13ab560
131662b09c1
14b847d208
15724807ac
hex48d9eb58

1222241112 has 144 divisors (see below), whose sum is σ = 3548797200. Its totient is φ = 379929600.

The previous prime is 1222241107. The next prime is 1222241113. The reversal of 1222241112 is 2111422221.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1222241113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3141814 + ... + 3142202.

It is an arithmetic number, because the mean of its divisors is an integer number (24644425).

Almost surely, 21222241112 is an apocalyptic number.

1222241112 is a gapful number since it is divisible by the number (12) 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 1222241112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774398600).

1222241112 is an abundant number, since it is smaller than the sum of its proper divisors (2326556088).

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

1222241112 is a wasteful number, since it uses less digits than its factorization.

1222241112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 562 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 1222241112 is about 34960.5650984077. The cubic root of 1222241112 is about 1069.1836181167.

Adding to 1222241112 its reverse (2111422221), we get a palindrome (3333663333).

The spelling of 1222241112 in words is "one billion, two hundred twenty-two million, two hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 151 153 204 289 302 306 389 408 453 578 604 612 778 867 906 1156 1167 1208 1224 1359 1556 1734 1812 2312 2334 2567 2601 2718 3112 3468 3501 3624 4668 5134 5202 5436 6613 6936 7002 7701 9336 10268 10404 10872 13226 14004 15402 19839 20536 20808 23103 26452 28008 30804 39678 43639 46206 52904 58739 59517 61608 79356 87278 92412 112421 117478 119034 130917 158712 174556 176217 184824 224842 234956 238068 261834 337263 349112 352434 392751 449684 469912 476136 523668 528651 674526 704868 785502 899368 998563 1011789 1047336 1057302 1349052 1409736 1571004 1997126 2023578 2114604 2698104 2995689 3142008 3994252 4047156 4229208 5991378 7988504 8094312 8987067 11982756 16975571 17974134 23965512 33951142 35948268 50926713 67902284 71896536 101853426 135804568 152780139 203706852 305560278 407413704 611120556 1222241112