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8228208 = 2433741113
BaseRepresentation
bin11111011000110101110000
3120111000222110
4133120311300
54101300313
6452205320
7126636642
oct37306560
916430873
108228208
11470aa7a
122909840
131921281
141142892
15ac7ec3
hex7d8d70

8228208 has 80 divisors (see below), whose sum is σ = 22561056. Its totient is φ = 2580480.

The previous prime is 8228201. The next prime is 8228263. The reversal of 8228208 is 8028228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8228201) by changing a digit.

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, 72760 + ... + 72872.

Almost surely, 28228208 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 8228208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11280528).

8228208 is an abundant number, since it is smaller than the sum of its proper divisors (14332848).

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

8228208 is a wasteful number, since it uses less digits than its factorization.

8228208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 8228208 is about 2868.4853145868. The cubic root of 8228208 is about 201.8839316212.

The spelling of 8228208 in words is "eight million, two hundred twenty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 41 48 74 82 111 113 123 148 164 222 226 246 296 328 339 444 452 492 592 656 678 888 904 984 1356 1517 1776 1808 1968 2712 3034 4181 4551 4633 5424 6068 8362 9102 9266 12136 12543 13899 16724 18204 18532 24272 25086 27798 33448 36408 37064 50172 55596 66896 72816 74128 100344 111192 171421 200688 222384 342842 514263 685684 1028526 1371368 2057052 2742736 4114104 8228208