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220111020 = 22345831637
BaseRepresentation
bin11010001111010…
…10000010101100
3120100011210120000
431013222002230
5422322023040
633501424300
75311625043
oct1507520254
9510153500
10220111020
11103279738
126186b090
13367a910c
142133955a
15144cd130
hexd1ea0ac

220111020 has 120 divisors (see below), whose sum is σ = 699242544. Its totient is φ = 57953664.

The previous prime is 220110967. The next prime is 220111027. The reversal of 220111020 is 20111022.

It is a super-2 number, since 2×2201110202 = 96897722250880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 220110993 and 220111011.

It is not an unprimeable number, because it can be changed into a prime (220111027) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 133642 + ... + 135278.

Almost surely, 2220111020 is an apocalyptic number.

220111020 is a gapful number since it is divisible by the number (20) 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 220111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349621272).

220111020 is an abundant number, since it is smaller than the sum of its proper divisors (479131524).

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

220111020 is a wasteful number, since it uses less digits than its factorization.

220111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 220111020 is about 14836.1389855986. The cubic root of 220111020 is about 603.7826030771.

Adding to 220111020 its reverse (20111022), we get a palindrome (240222042).

The spelling of 220111020 in words is "two hundred twenty million, one hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 83 90 108 135 162 166 180 249 270 324 332 405 415 498 540 747 810 830 996 1245 1494 1620 1637 1660 2241 2490 2988 3274 3735 4482 4911 4980 6548 6723 7470 8185 8964 9822 11205 13446 14733 14940 16370 19644 22410 24555 26892 29466 32740 33615 44199 44820 49110 58932 67230 73665 88398 98220 132597 134460 135871 147330 176796 220995 265194 271742 294660 407613 441990 530388 543484 662985 679355 815226 883980 1222839 1325970 1358710 1630452 2038065 2445678 2651940 2717420 3668517 4076130 4891356 6114195 7337034 8152260 11005551 12228390 14674068 18342585 22011102 24456780 36685170 44022204 55027755 73370340 110055510 220111020