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8228460 = 2235294729
BaseRepresentation
bin11111011000111001101100
3120111001022210
4133120321230
54101302320
6452210420
7126640452
oct37307154
916431283
108228460
114710189
122909a10
131921416
1411429d2
15ac80e0
hex7d8e6c

8228460 has 48 divisors (see below), whose sum is σ = 23839200. Its totient is φ = 2118144.

The previous prime is 8228449. The next prime is 8228461. The reversal of 8228460 is 648228.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8228461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625 + ... + 4104.

It is an arithmetic number, because the mean of its divisors is an integer number (496650).

Almost surely, 28228460 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 8228460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11919600).

8228460 is an abundant number, since it is smaller than the sum of its proper divisors (15610740).

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

8228460 is a wasteful number, since it uses less digits than its factorization.

8228460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4770 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 8228460 is about 2868.5292398719. The cubic root of 8228460 is about 201.8859925896.

The spelling of 8228460 in words is "eight million, two hundred twenty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 4729 9458 14187 18916 23645 28374 47290 56748 70935 94580 137141 141870 274282 283740 411423 548564 685705 822846 1371410 1645692 2057115 2742820 4114230 8228460