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8220498 = 2311213267
BaseRepresentation
bin11111010110111101010010
3120110122101220
4133112331102
54101023443
6452105510
7126605316
oct37267522
916418356
108220498
114705200
122905296
13191a900
14113db46
15ac5a83
hex7d6f52

8220498 has 72 divisors (see below), whose sum is σ = 19860624. Its totient is φ = 2265120.

The previous prime is 8220497. The next prime is 8220517. The reversal of 8220498 is 8940228.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (8220493) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122661 + ... + 122727.

It is an arithmetic number, because the mean of its divisors is an integer number (275842).

Almost surely, 28220498 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8220498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9930312).

8220498 is an abundant number, since it is smaller than the sum of its proper divisors (11640126).

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

8220498 is a wasteful number, since it uses less digits than its factorization.

8220498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8220498 is about 2867.1410847742. The cubic root of 8220498 is about 201.8208554515.

The spelling of 8220498 in words is "eight million, two hundred twenty thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 67 78 121 134 143 169 201 242 286 338 363 402 429 507 726 737 858 871 1014 1474 1573 1742 1859 2211 2613 3146 3718 4422 4719 5226 5577 8107 9438 9581 11154 11323 16214 19162 20449 22646 24321 28743 33969 40898 48642 57486 61347 67938 105391 122694 124553 210782 249106 316173 373659 632346 747318 1370083 2740166 4110249 8220498