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8221980 = 22351383127
BaseRepresentation
bin11111010111010100011100
3120110201102210
4133113110130
54101100410
6452120420
7126612534
oct37272434
916421383
108221980
114706328
122906110
13191b4a0
1411404c4
15ac6220
hex7d751c

8221980 has 96 divisors (see below), whose sum is σ = 25288704. Its totient is φ = 1983744.

The previous prime is 8221963. The next prime is 8221981. The reversal of 8221980 is 891228.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221981) 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, 64677 + ... + 64803.

It is an arithmetic number, because the mean of its divisors is an integer number (263424).

Almost surely, 28221980 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 8221980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644352).

8221980 is an abundant number, since it is smaller than the sum of its proper divisors (17066724).

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

8221980 is a wasteful number, since it uses less digits than its factorization.

8221980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 8221980 is about 2867.3995187277. The cubic root of 8221980 is about 201.8329828813.

The spelling of 8221980 in words is "eight million, two hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 83 127 130 156 166 195 249 254 260 332 381 390 415 498 508 635 762 780 830 996 1079 1245 1270 1524 1651 1660 1905 2158 2490 2540 3237 3302 3810 4316 4953 4980 5395 6474 6604 7620 8255 9906 10541 10790 12948 16185 16510 19812 21082 21580 24765 31623 32370 33020 42164 49530 52705 63246 64740 99060 105410 126492 137033 158115 210820 274066 316230 411099 548132 632460 685165 822198 1370330 1644396 2055495 2740660 4110990 8221980