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18225636 = 223111321943
BaseRepresentation
bin100010110000…
…1100111100100
31021021221212120
41011201213210
514131210021
61450345540
7310625652
oct105414744
937257776
1018225636
11a319210
12612b2b0
133a11900
1425c5dd2
1519002c6
hex11619e4

18225636 has 144 divisors (see below), whose sum is σ = 54109440. Its totient is φ = 4717440.

The previous prime is 18225611. The next prime is 18225653. The reversal of 18225636 is 63652281.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 18225597 and 18225606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423831 + ... + 423873.

It is an arithmetic number, because the mean of its divisors is an integer number (375760).

Almost surely, 218225636 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 18225636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27054720).

18225636 is an abundant number, since it is smaller than the sum of its proper divisors (35883804).

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

18225636 is a wasteful number, since it uses less digits than its factorization.

18225636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 18225636 is about 4269.1493297846. The cubic root of 18225636 is about 263.1646575974.

The spelling of 18225636 in words is "eighteen million, two hundred twenty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 19 22 26 33 38 39 43 44 52 57 66 76 78 86 114 129 132 143 156 169 172 209 228 247 258 286 338 418 429 473 494 507 516 559 572 627 676 741 817 836 858 946 988 1014 1118 1254 1419 1482 1634 1677 1716 1859 1892 2028 2236 2451 2508 2717 2838 2964 3211 3268 3354 3718 4902 5434 5577 5676 6149 6422 6708 7267 7436 8151 8987 9633 9804 10621 10868 11154 12298 12844 14534 16302 17974 18447 19266 21242 21801 22308 24596 26961 29068 31863 32604 35321 35948 36894 38532 42484 43602 53922 63726 70642 73788 79937 87204 105963 107844 116831 127452 138073 141284 159874 211926 233662 239811 276146 319748 350493 414219 423852 467324 479622 552292 700986 828438 959244 1401972 1518803 1656876 3037606 4556409 6075212 9112818 18225636