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10818220 = 225731983
BaseRepresentation
bin101001010001…
…001010101100
3202100121210211
4221101022230
510232140340
61023512204
7160645000
oct51211254
922317724
1010818220
116119986
123758664
13231a11a
141618700
15e3a5ea
hexa512ac

10818220 has 96 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 3471552.

The previous prime is 10818191. The next prime is 10818233. The reversal of 10818220 is 2281801.

It is a junction number, because it is equal to n+sod(n) for n = 10818191 and 10818200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130299 + ... + 130381.

It is an arithmetic number, because the mean of its divisors is an integer number (294000).

Almost surely, 210818220 is an apocalyptic number.

10818220 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 10818220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

10818220 is an abundant number, since it is smaller than the sum of its proper divisors (17405780).

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

10818220 is a wasteful number, since it uses less digits than its factorization.

10818220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 10818220 is about 3289.1062615854. The cubic root of 10818220 is about 221.1661220349.

The spelling of 10818220 in words is "ten million, eight hundred eighteen thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 83 95 98 133 140 166 190 196 245 266 332 343 380 415 490 532 581 665 686 830 931 980 1162 1330 1372 1577 1660 1715 1862 2324 2660 2905 3154 3430 3724 4067 4655 5810 6308 6517 6860 7885 8134 9310 11039 11620 13034 15770 16268 18620 20335 22078 26068 28469 31540 32585 40670 44156 55195 56938 65170 77273 81340 110390 113876 130340 142345 154546 220780 284690 309092 386365 540911 569380 772730 1081822 1545460 2163644 2704555 5409110 10818220