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18410220 = 22335103331
BaseRepresentation
bin100011000111…
…0101011101100
31021122100002000
41012032223230
514203111340
61454332300
7312325053
oct106165354
937570060
1018410220
11a434964
1261ba090
133a7792a
14263339a
151939d30
hex118eaec

18410220 has 96 divisors (see below), whose sum is σ = 58007040. Its totient is φ = 4847040.

The previous prime is 18410219. The next prime is 18410233. The reversal of 18410220 is 2201481.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 18410193 and 18410202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55455 + ... + 55785.

It is an arithmetic number, because the mean of its divisors is an integer number (604240).

Almost surely, 218410220 is an apocalyptic number.

18410220 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 18410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29003520).

18410220 is an abundant number, since it is smaller than the sum of its proper divisors (39596820).

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

18410220 is a wasteful number, since it uses less digits than its factorization.

18410220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 18410220 is about 4290.7132274250. The cubic root of 18410220 is about 264.0500937999.

It can be divided in two parts, 184 and 10220, that added together give a square (10404 = 1022).

The spelling of 18410220 in words is "eighteen million, four hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 103 108 135 180 206 270 309 331 412 515 540 618 662 927 993 1030 1236 1324 1545 1655 1854 1986 2060 2781 2979 3090 3310 3708 3972 4635 4965 5562 5958 6180 6620 8937 9270 9930 11124 11916 13905 14895 17874 18540 19860 27810 29790 34093 35748 44685 55620 59580 68186 89370 102279 136372 170465 178740 204558 306837 340930 409116 511395 613674 681860 920511 1022790 1227348 1534185 1841022 2045580 3068370 3682044 4602555 6136740 9205110 18410220