Search a number
-
+
11003222240 = 255192197967
BaseRepresentation
bin10100011111101011…
…11101100011100000
31001101211111121022122
422033311331203200
5140013311102430
65015501123412
7536445563063
oct121765754340
931354447278
1011003222240
1147370397aa
122170b59568
1310647b51ba
147654ac8da
15445ec8ee5
hex28fd7d8e0

11003222240 has 144 divisors (see below), whose sum is σ = 27603065952. Its totient is φ = 4144186368.

The previous prime is 11003222233. The next prime is 11003222291. The reversal of 11003222240 is 4222230011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11378237 + ... + 11379203.

It is an arithmetic number, because the mean of its divisors is an integer number (191687958).

Almost surely, 211003222240 is an apocalyptic number.

11003222240 is a gapful number since it is divisible by the number (10) 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 11003222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13801532976).

11003222240 is an abundant number, since it is smaller than the sum of its proper divisors (16599843712).

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

11003222240 is a wasteful number, since it uses less digits than its factorization.

11003222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 11003222240 its reverse (4222230011), we get a palindrome (15225452251).

The spelling of 11003222240 in words is "eleven billion, three million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 197 304 361 380 394 608 722 760 788 967 985 1444 1520 1576 1805 1934 1970 2888 3040 3152 3610 3743 3868 3940 4835 5776 6304 7220 7486 7736 7880 9670 11552 14440 14972 15472 15760 18373 18715 19340 28880 29944 30944 31520 36746 37430 38680 57760 59888 71117 73492 74860 77360 91865 119776 142234 146984 149720 154720 183730 190499 284468 293968 299440 349087 355585 367460 380998 568936 587936 598880 698174 711170 734920 761996 952495 1137872 1396348 1422340 1469840 1523992 1745435 1904990 2275744 2792696 2844680 2939680 3047984 3490870 3619481 3809980 5585392 5689360 6095968 6981740 7238962 7619960 11170784 11378720 13963480 14477924 15239920 18097405 27926960 28955848 30479840 36194810 55853920 57911696 68770139 72389620 115823392 137540278 144779240 275080556 289558480 343850695 550161112 579116960 687701390 1100322224 1375402780 2200644448 2750805560 5501611120 11003222240