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18986220 = 223251143223
BaseRepresentation
bin100100001101…
…1010011101100
31022201121012100
41020123103230
514330024340
61514535100
7320244261
oct110332354
938647170
1018986220
11a7986a0
126437490
133c19b66
142743268
151a00830
hex121b4ec

18986220 has 144 divisors (see below), whose sum is σ = 64576512. Its totient is φ = 4475520.

The previous prime is 18986207. The next prime is 18986237. The reversal of 18986220 is 2268981.

18986220 = T55 + T56 + ... + T484.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85029 + ... + 85251.

It is an arithmetic number, because the mean of its divisors is an integer number (448448).

Almost surely, 218986220 is an apocalyptic number.

18986220 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 18986220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32288256).

18986220 is an abundant number, since it is smaller than the sum of its proper divisors (45590292).

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

18986220 is a wasteful number, since it uses less digits than its factorization.

18986220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 18986220 is about 4357.3179824291. The cubic root of 18986220 is about 266.7756394902.

It can be divided in two parts, 1898 and 6220, that added together give a palindrome (8118).

The spelling of 18986220 in words is "eighteen million, nine hundred eighty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 43 44 45 55 60 66 86 90 99 110 129 132 165 172 180 198 215 220 223 258 330 387 396 430 446 473 495 516 645 660 669 774 860 892 946 990 1115 1290 1338 1419 1548 1892 1935 1980 2007 2230 2365 2453 2580 2676 2838 3345 3870 4014 4257 4460 4730 4906 5676 6690 7095 7359 7740 8028 8514 9460 9589 9812 10035 12265 13380 14190 14718 17028 19178 20070 21285 22077 24530 28380 28767 29436 36795 38356 40140 42570 44154 47945 49060 57534 73590 85140 86301 88308 95890 105479 110385 115068 143835 147180 172602 191780 210958 220770 287670 316437 345204 421916 431505 441540 527395 575340 632874 863010 949311 1054790 1265748 1582185 1726020 1898622 2109580 3164370 3797244 4746555 6328740 9493110 18986220