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8228500 = 225372351
BaseRepresentation
bin11111011000111010010100
3120111001101021
4133120322110
54101303000
6452210524
7126640540
oct37307224
916431337
108228500
114710215
122909a44
131921447
141142a20
15ac811a
hex7d8e94

8228500 has 48 divisors (see below), whose sum is σ = 20547072. Its totient is φ = 2820000.

The previous prime is 8228497. The next prime is 8228513. The reversal of 8228500 is 58228.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325 + ... + 4675.

It is an arithmetic number, because the mean of its divisors is an integer number (428064).

Almost surely, 28228500 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 8228500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273536).

8228500 is an abundant number, since it is smaller than the sum of its proper divisors (12318572).

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

8228500 is a wasteful number, since it uses less digits than its factorization.

8228500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 8228500 is about 2868.5362120775. The cubic root of 8228500 is about 201.8863197236.

It can be divided in two parts, 82 and 28500, that added together give a palindrome (28582).

The spelling of 8228500 in words is "eight million, two hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 2351 3500 4702 9404 11755 16457 23510 32914 47020 58775 65828 82285 117550 164570 235100 293875 329140 411425 587750 822850 1175500 1645700 2057125 4114250 8228500