Search a number
-
+
11229435 = 345717233
BaseRepresentation
bin101010110101…
…100011111011
3210010111220000
4222311203323
510333320220
61040404043
7164306610
oct52654373
923114800
1011229435
11637a928
123916623
132432349
1416c4507
15ebc390
hexab58fb

11229435 has 80 divisors (see below), whose sum is σ = 24463296. Its totient is φ = 4810752.

The previous prime is 11229433. The next prime is 11229443. The reversal of 11229435 is 53492211.

11229435 is a `hidden beast` number, since 1 + 1 + 229 + 435 = 666.

It is not a de Polignac number, because 11229435 - 21 = 11229433 is a prime.

It is a super-2 number, since 2×112294352 = 252200420838450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11229399 and 11229408.

It is not an unprimeable number, because it can be changed into a prime (11229433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48079 + ... + 48311.

Almost surely, 211229435 is an apocalyptic number.

11229435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11229435 is an abundant number, since it is smaller than the sum of its proper divisors (13233861).

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

11229435 is a wasteful number, since it uses less digits than its factorization.

11229435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 265 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 11229435 is about 3351.0349147689. The cubic root of 11229435 is about 223.9336205843.

It can be divided in two parts, 11229 and 435, that added together give a square (11664 = 1082).

The spelling of 11229435 in words is "eleven million, two hundred twenty-nine thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 189 233 255 315 357 405 459 567 595 699 765 945 1071 1165 1377 1631 1785 2097 2295 2835 3213 3495 3961 4893 5355 6291 6885 8155 9639 10485 11883 14679 16065 18873 19805 24465 27727 31455 35649 44037 48195 59415 73395 83181 94365 106947 132111 138635 178245 220185 249543 320841 415905 534735 660555 748629 1247715 1604205 2245887 3743145 11229435