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11112220 = 22572172329
BaseRepresentation
bin101010011000…
…111100011100
3202220120002201
4222120330130
510321042340
61034101244
7163311100
oct52307434
922816081
1011112220
1162aa859
12387a824
1323c0ba2
141693900
15e9779a
hexa98f1c

11112220 has 144 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 3311616.

The previous prime is 11112217. The next prime is 11112239. The reversal of 11112220 is 2221111.

11112220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11112197 and 11112206.

It is a congruent number.

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, 383166 + ... + 383194.

It is an arithmetic number, because the mean of its divisors is an integer number (215460).

Almost surely, 211112220 is an apocalyptic number.

11112220 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 11112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

11112220 is an abundant number, since it is smaller than the sum of its proper divisors (19914020).

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

11112220 is a wasteful number, since it uses less digits than its factorization.

11112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11112220 is about 3333.4996625169. The cubic root of 11112220 is about 223.1517397147.

Adding to 11112220 its reverse (2221111), we get a palindrome (13333331).

The spelling of 11112220 in words is "eleven million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 23 28 29 34 35 46 49 58 68 70 85 92 98 115 116 119 140 145 161 170 196 203 230 238 245 290 322 340 391 406 460 476 490 493 580 595 644 667 782 805 812 833 980 986 1015 1127 1190 1334 1421 1564 1610 1666 1955 1972 2030 2254 2380 2465 2668 2737 2842 3220 3332 3335 3451 3910 4060 4165 4508 4669 4930 5474 5635 5684 6670 6902 7105 7820 8330 9338 9860 10948 11270 11339 13340 13685 13804 14210 16660 17255 18676 19159 22540 22678 23345 24157 27370 28420 32683 34510 38318 45356 46690 48314 54740 56695 65366 69020 76636 79373 93380 95795 96628 113390 120785 130732 158746 163415 191590 226780 241570 317492 326830 383180 396865 483140 555611 653660 793730 1111222 1587460 2222444 2778055 5556110 11112220