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8226020 = 22511139269
BaseRepresentation
bin11111011000010011100100
3120110220222102
4133120103210
54101213040
6452151232
7126630365
oct37302344
916426872
108226020
114709370
122908518
13192028a
141141b6c
15ac7515
hex7d84e4

8226020 has 48 divisors (see below), whose sum is σ = 19051200. Its totient is φ = 2958720.

The previous prime is 8226017. The next prime is 8226037. The reversal of 8226020 is 206228.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 8225983 and 8226001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30446 + ... + 30714.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 28226020 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 8226020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525600).

8226020 is an abundant number, since it is smaller than the sum of its proper divisors (10825180).

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

8226020 is a wasteful number, since it uses less digits than its factorization.

8226020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 8226020 is about 2868.1039032783. The cubic root of 8226020 is about 201.8660354117.

The spelling of 8226020 in words is "eight million, two hundred twenty-six thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 139 220 269 278 538 556 695 1076 1345 1390 1529 2690 2780 2959 3058 5380 5918 6116 7645 11836 14795 15290 29590 30580 37391 59180 74782 149564 186955 373910 411301 747820 822602 1645204 2056505 4113010 8226020