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8102220 = 22357101191
BaseRepresentation
bin11110111010000101001100
3120020122011020
4132322011030
54033232340
6445354140
7125603430
oct36720514
916218136
108102220
114634355
122868950
1318a8b19
14110c9c0
15aa09d0
hex7ba14c

8102220 has 96 divisors (see below), whose sum is σ = 26320896. Its totient is φ = 1824000.

The previous prime is 8102177. The next prime is 8102221. The reversal of 8102220 is 222018.

8102220 is digitally balanced in base 4 and base 8, because in such bases 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 (15).

8102220 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 8102220.

It is not an unprimeable number, because it can be changed into a prime (8102221) 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, 42325 + ... + 42515.

It is an arithmetic number, because the mean of its divisors is an integer number (274176).

Almost surely, 28102220 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 8102220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13160448).

8102220 is an abundant number, since it is smaller than the sum of its proper divisors (18218676).

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

8102220 is a wasteful number, since it uses less digits than its factorization.

8102220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8102220 is about 2846.4398816768. The cubic root of 8102220 is about 200.8482307703.

Adding to 8102220 its reverse (222018), we get a palindrome (8324238).

The spelling of 8102220 in words is "eight million, one hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 101 105 140 191 202 210 303 382 404 420 505 573 606 707 764 955 1010 1146 1212 1337 1414 1515 1910 2020 2121 2292 2674 2828 2865 3030 3535 3820 4011 4242 5348 5730 6060 6685 7070 8022 8484 10605 11460 13370 14140 16044 19291 20055 21210 26740 38582 40110 42420 57873 77164 80220 96455 115746 135037 192910 231492 270074 289365 385820 405111 540148 578730 675185 810222 1157460 1350370 1620444 2025555 2700740 4051110 8102220