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11235224 = 23711132361
BaseRepresentation
bin101010110110…
…111110011000
3210010210211102
4222312332120
510334011344
61040450532
7164332520
oct52667630
923123742
1011235224
116384210
123919a48
132434b80
1416c6680
15ebde4e
hexab6f98

11235224 has 128 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 3801600.

The previous prime is 11235221. The next prime is 11235229. The reversal of 11235224 is 42253211.

It is a junction number, because it is equal to n+sod(n) for n = 11235196 and 11235205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11235221) 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, 184154 + ... + 184214.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 211235224 is an apocalyptic number.

11235224 is a gapful number since it is divisible by the number (14) 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 11235224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

11235224 is an abundant number, since it is smaller than the sum of its proper divisors (18762856).

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

11235224 is a wasteful number, since it uses less digits than its factorization.

11235224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 117 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 11235224 is about 3351.8985664844. The cubic root of 11235224 is about 223.9720947381.

Adding to 11235224 its reverse (42253211), we get a palindrome (53488435).

The spelling of 11235224 in words is "eleven million, two hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 23 26 28 44 46 52 56 61 77 88 91 92 104 122 143 154 161 182 184 244 253 286 299 308 322 364 427 488 506 572 598 616 644 671 728 793 854 1001 1012 1144 1196 1288 1342 1403 1586 1708 1771 2002 2024 2093 2392 2684 2806 3172 3289 3416 3542 4004 4186 4697 5368 5551 5612 6344 6578 7084 8008 8372 8723 9394 9821 11102 11224 13156 14168 15433 16744 17446 18239 18788 19642 22204 23023 26312 30866 34892 36478 37576 39284 44408 46046 61061 61732 69784 72956 78568 92092 108031 122122 123464 127673 145912 184184 200629 216062 244244 255346 401258 432124 488488 510692 802516 864248 1021384 1404403 1605032 2808806 5617612 11235224