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11221005224 = 231113471811153
BaseRepresentation
bin10100111001101001…
…01111001110101000
31001222000022010102002
422130310233032220
5140440034131344
65053241030132
7545031653642
oct123464571650
931860263362
1011221005224
114838a68340
122211a85348
13109a957780
1478639d892
1545a19744e
hex29cd2f3a8

11221005224 has 128 divisors (see below), whose sum is σ = 25404986880. Its totient is φ = 4578508800.

The previous prime is 11221005223. The next prime is 11221005259. The reversal of 11221005224 is 42250012211.

It is a junction number, because it is equal to n+sod(n) for n = 11221005196 and 11221005205.

It is not an unprimeable number, because it can be changed into a prime (11221005223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9731432 + ... + 9732584.

It is an arithmetic number, because the mean of its divisors is an integer number (198476460).

Almost surely, 211221005224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221005224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702493440).

11221005224 is an abundant number, since it is smaller than the sum of its proper divisors (14183981656).

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

11221005224 is a wasteful number, since it uses less digits than its factorization.

11221005224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1411 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 11221005224 its reverse (42250012211), we get a palindrome (53471017435).

The spelling of 11221005224 in words is "eleven billion, two hundred twenty-one million, five thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 22 26 44 47 52 88 94 104 143 181 188 286 362 376 517 572 611 724 1034 1144 1153 1222 1448 1991 2068 2306 2353 2444 3982 4136 4612 4706 4888 6721 7964 8507 9224 9412 12683 13442 14989 15928 17014 18824 25366 25883 26884 29978 34028 50732 51766 53768 54191 59956 68056 93577 101464 103532 108382 110591 119912 164879 187154 207064 208693 216764 221182 329758 374308 417386 433528 442364 596101 659516 704483 748616 834772 884728 1192202 1216501 1319032 1408966 1669544 2295623 2384404 2433002 2713009 2817932 4591246 4768808 4866004 5426018 5635864 7749313 9182492 9732008 9808571 10852036 15498626 18364984 19617142 21704072 29843099 30997252 39234284 59686198 61994504 78468568 107894281 119372396 127511423 215788562 238744792 255022846 431577124 510045692 863154248 1020091384 1402625653 2805251306 5610502612 11221005224