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8227980 = 223551693
BaseRepresentation
bin11111011000110010001100
3120111000200000
4133120302030
54101243410
6452204300
7126636165
oct37306214
916430600
108227980
11470a892
122909690
131921137
14114276c
15ac7dc0
hex7d8c8c

8227980 has 72 divisors (see below), whose sum is σ = 25897872. Its totient is φ = 2192832.

The previous prime is 8227957. The next prime is 8227987. The reversal of 8227980 is 897228.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8227987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4014 + ... + 5706.

Almost surely, 28227980 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 8227980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948936).

8227980 is an abundant number, since it is smaller than the sum of its proper divisors (17669892).

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

8227980 is a wasteful number, since it uses less digits than its factorization.

8227980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8227980 is about 2868.4455720826. The cubic root of 8227980 is about 201.8820668992.

The spelling of 8227980 in words is "eight million, two hundred twenty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 1693 2430 3386 4860 5079 6772 8465 10158 15237 16930 20316 25395 30474 33860 45711 50790 60948 76185 91422 101580 137133 152370 182844 228555 274266 304740 411399 457110 548532 685665 822798 914220 1371330 1645596 2056995 2742660 4113990 8227980