Search a number
-
+
8012220 = 2235413257
BaseRepresentation
bin11110100100000110111100
3120002001200220
4132210012330
54022342340
6443421340
7125050146
oct36440674
916061626
108012220
114582777
122824850
131876b78
1410c7c96
15a83ed0
hex7a41bc

8012220 has 48 divisors (see below), whose sum is σ = 22988448. Its totient is φ = 2083840.

The previous prime is 8012209. The next prime is 8012227. The reversal of 8012220 is 222108.

8012220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 8012220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8012227) 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, 832 + ... + 4088.

It is an arithmetic number, because the mean of its divisors is an integer number (478926).

Almost surely, 28012220 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 8012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11494224).

8012220 is an abundant number, since it is smaller than the sum of its proper divisors (14976228).

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

8012220 is a wasteful number, since it uses less digits than its factorization.

8012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 8012220 is about 2830.5865116615. The cubic root of 8012220 is about 200.1017815272.

Adding to 8012220 its reverse (222108), we get a palindrome (8234328).

The spelling of 8012220 in words is "eight million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 3257 6514 9771 13028 16285 19542 32570 39084 48855 65140 97710 133537 195420 267074 400611 534148 667685 801222 1335370 1602444 2003055 2670740 4006110 8012220