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21812220 = 22335311303
BaseRepresentation
bin101001100110…
…1001111111100
31112001011202000
41103031033330
521040442340
62055302300
7353254323
oct123151774
945034660
1021812220
1111348931
12737a990
134699251
142c7b0ba
151dacd30
hex14cd3fc

21812220 has 96 divisors (see below), whose sum is σ = 70103040. Its totient is φ = 5624640.

The previous prime is 21812213. The next prime is 21812221. The reversal of 21812220 is 2221812.

It is a happy number.

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 = 21812193 and 21812202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21812221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16089 + ... + 17391.

It is an arithmetic number, because the mean of its divisors is an integer number (730240).

Almost surely, 221812220 is an apocalyptic number.

21812220 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 21812220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35051520).

21812220 is an abundant number, since it is smaller than the sum of its proper divisors (48290820).

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

21812220 is a wasteful number, since it uses less digits than its factorization.

21812220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1344 counting only the distinct ones).

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

The square root of 21812220 is about 4670.3554468584. The cubic root of 21812220 is about 279.4044313843.

The spelling of 21812220 in words is "twenty-one million, eight hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 1116 1303 1395 1674 1860 2606 2790 3348 3909 4185 5212 5580 6515 7818 8370 11727 13030 15636 16740 19545 23454 26060 35181 39090 40393 46908 58635 70362 78180 80786 117270 121179 140724 161572 175905 201965 234540 242358 351810 363537 403930 484716 605895 703620 727074 807860 1090611 1211790 1454148 1817685 2181222 2423580 3635370 4362444 5453055 7270740 10906110 21812220