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8420220 = 2233531503
BaseRepresentation
bin100000000111…
…101101111100
3120211210101000
4200013231330
54123421340
6500250300
7131366514
oct40075574
916753330
108420220
114831266
1229a0990
13198a7a3
141192844
15b14d30
hex807b7c

8420220 has 96 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 2168640.

The previous prime is 8420207. The next prime is 8420221. The reversal of 8420220 is 220248.

8420220 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 8420193 and 8420202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8420221) 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, 16489 + ... + 16991.

It is an arithmetic number, because the mean of its divisors is an integer number (282240).

Almost surely, 28420220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8420220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

8420220 is an abundant number, since it is smaller than the sum of its proper divisors (18674820).

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

8420220 is a wasteful number, since it uses less digits than its factorization.

8420220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 8420220 is about 2901.7615339652. The cubic root of 8420220 is about 203.4422480788.

Adding to 8420220 its reverse (220248), we get a palindrome (8640468).

The spelling of 8420220 in words is "eight million, four hundred twenty 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 93 108 124 135 155 180 186 270 279 310 372 465 503 540 558 620 837 930 1006 1116 1395 1509 1674 1860 2012 2515 2790 3018 3348 4185 4527 5030 5580 6036 7545 8370 9054 10060 13581 15090 15593 16740 18108 22635 27162 30180 31186 45270 46779 54324 62372 67905 77965 90540 93558 135810 140337 155930 187116 233895 271620 280674 311860 421011 467790 561348 701685 842022 935580 1403370 1684044 2105055 2806740 4210110 8420220